CURRICULUM VITAE

NAME

Tavkhelidze  Ilia

 

 

 

Faculty of Exact and Naturally sciences

Iv.Javakhishvili Tbilisi state University

University str. 2380043 Tbilisi, Georgia

tell: +995/32/230-40-98,  (office)

      +995/32/232-30-85 (home)

      +995/93/32-11-93 (mob.)

 

e-mail: kokolo_ta@yahoo.com ,

 ilia.tavkhelidze@tsu.ge 

 

PERSONAL DATA

Birth date: February 06. 1955

Birthplace: Tbilisi, Georgia

Nationality: Georgian

 

EDUCATION AND SCIENTIFIC DEGREES

1971 – 1976  

Student of Moscow State University, Faculty of Mechanics and Mathematics

1976

Diploma in Mathematics (with honor), Moscow State University

1977 – 1979

Post-graduate student of Moscow State University

1979

“Candidate of sciences” in Physical and Mathematical sciences of Moscow State University

2004

“Doctor of sciences” in Physical and Mathematical sciences

 

 

LANGUAGES

Georgian (native), Russian (excellent), English (good), French (satisfactory), Italian (with dictionary).


POSITIONS HELD AND ACADEMIC EXPERIANCE

 

1980-1988

Researcher of A. Razmadze Math. Institute

1988-2005

Deputy director of I. Vekua Institute of Applied Mathematics

1980-2006

Lector (Full Prof.) of Iv. Javakhishvili Tbilisi State University

1997-2007

Lector (Full Prof.) of Sukhumi branch of Tbilisi State University

1997- 2005

Head of Department of Mathematical Physics of  I.Vekua Institute of Applied Mathematics

1998- 2005

Head of Scientific Network of  Iv.Javakhishvili Tbilisi State University

1998- 2006

Researcher of N.Muskhelishvili Institute of Comp. Math. of the Georgian Academy of Sciences

2005 02. – 2005   06.

Coordinator of  I.Javakhishvili  Tbilisi State University

2005 06. – 2006.  10.

Vice Dean of Faculty of Exact and Natural Sciences of  Iv.Javakhishvili Tbilisi State University

2006 08. - up to now

Associated professor of Faculty of Natural Sciences of  Iv.Javakhishvili Tbilisi State University

 

RESEARCH INTERESTS

 

Partial differential equations (Qualitative theory of high order differential equations, asymptotic behavior of solutions, a priori estimate of Saint-Venant’s type and its applications, operational methods of solutions), Analytic representation of geometric figures and trajectories, Ribbon and Bulky  Knots and Links.

 

 

PRIZES AND AWARDS

 

 

FELLOWSHIPS AND GRANTS

 

1983-1984 - Guest of Moscow State University – (Joint Scientific researches with Prof. O. Oleinik) – Fellowship Georgian Academy of Sciences of Georgia;

1993 - Guest of “Royal Society” - (London, “Sir J. Kelly Institute of applied mechanics”, of

Westminster University, London, Joint Scientific researches with Prof. L. Xantis - 2.II.- 2.III.1993 ) - Fellowship of “Royal Society”;

1995 -  Visiting Prof.  of „IWR“ - (Interdisziplinares Zentrum fur Wissenschafliches Rechnen der Universität Heidelberg, Germany, Prof. W.Jager) - V.1995, Fellowship of Tbilisi State University;

1996 - Chairman of project - INT/32/1996 - Fellowship of Developments OSGF (“Open Society Georgia Foundation”);

1997 - Chairman of project - INT/08/1997 - Fellowship of Developments OSGF;

1998 Grant #1.38 of Academy of Sciences of Georgia;

1998 – 2000 - Scientific Grant of Ministry of Sciences and Technology of Georgia (Chairman of

         project  Prof. T. Tadumadze);

1998 - Visiting Prof. of - “Università degli Studi di Roma “La Sapienza”, Dipartimento Matematica         Istituto “Guido Castelnuovo”- Joint Scientific researches with prof. P.E. Ricci”) - Grant  Ateneo - Roma “La Sapienza”, (Italy);

1999 Grant #1.47 of Academy of Sciences of Georgia  ( 1 award of  conference SofTEC –  99  (Tbilisi)  - with N. Amaglobeli, B. Chiladze, D. Garibashvili , L. Kiknadze and T. Pitskhelauri);

2000-2001– Grant N 1.35 of Academy of Sciences of Georgia;

2001 - Visiting Prof. of - “Università degli Studi di Roma “La Sapienza”, Dipartimento  Matematica         Istituto “Guido Castelnuovo”- Joint Scientific researches with Prof. P.E. Ricci”) - Grant G.N.I.M. - C.N.R., (Italy);

2001-2003 – Grant # 1.34.02 of Academy of Sciences of Georgia;

2004 - Visiting Prof.   of  “Università degli Studi di Roma “LA SAPIENZA”, Dipartimento di Matematica         Istituto “Guido Castelnuovo”- Joint Scientific researches with Prof. P.E. Ricci and C.Cassisa”) - Grant  Ateneo - Roma “La Sapienza”, (Italy).

2004-2005 – Grant  # 1.34.04 of academy of Sciences of Georgia;

2005 - Visiting Prof.   of  “Università degli Studi di Roma “LA SAPIENZA”, Dipartimento di Matematica         Istituto “Guido Castelnuovo”- prof. P.E. Ricci”) - Grant  Ateneo - Roma “La Sapienza”, (Italy).

2005 – Chairman of project    N 1.01.77 – Ministry of Sciences and Education of Georgia;

2007(1.XI)-2008 (1.XI) – Collaborator (“Collaborazione Coordinata e Continuativa” – Universita Roma 1, “La Sapienza” ) – cochairmen of the project with Prof. P.E.Ricci: “Metodi operatoriali, funnzioni speciali  multidimensionali e applicazioni alla soluzione di problemi al contro per equazioni alle derivate parzialli”;  

2009 (01.II – 01. XII) – project of Georgian National Sciences foundation N SP09-10 10.II.2009 “Original lectures for popularization of mathematical education for students and teachers of primary and high schools in the different regions of Georgia”.

2010 (01.IV – 01. XII) – project of Georgian National Sciences foundation N 04/100 29.IV2010: “Original lectures for popularization of mathematical education for students and teachers of primary and high schools in the different regions of Georgia”.

2012 (02.V – 14. V) -  Guest  of  “Università degli Studi di Salerno” Dipartimento di Matematica

Joint Scientific researches with Prof. M.Transirico) – frame of agreement between Universities of Salerno  and Iv.Javakhishvili State university.

2012 (27VI.-2.VII.) - Buckswood International summer school of sciences- (Bakuriani, Georgia, Teacher)

2012 (2.XI – 9.XI.) – Grant of the researchers council of Lithuania 188716281- lectures, seminars in Lithuania Institutions – IAPS -250000-2618 (Lectures in Vilnius University)

 

 

EDITORIAL ACTIVITIES

 

1988- 2008  (up to now member of editorial council) vice-chairman editor of the journal “Seminar of I. Vekua Institute of Applied   Mathematics” (Reports published since 1969) , ISSN 1512-0058;
1988- 2008 editor of journal “Proceedings of I. Vekua Institute of Applied Mathematics” (published since 1969)    ISSN 1512-004X ;

1888 – 2008 Member of Editorial Board and technical editor of  Reports of enlarged session of the seminar of I. Vekua Institute of Applied Mathematics” (published since 1985), ISSN 1512-0066.


 

SUPERVISION OF POST-GRADUATE STUDENTS

 

1981 – 1984 - Supervisor of Ph. D. student G. Bakradze - at Tbilisi State University;

2002 – 2006  - Supervisor of Ph. D. student T.Kupreishvili - at Tbilisi State University;

2000 – 2001 - Supervisor of  “World Federations Students” – I. Khokhiashvili;

2002 – 2003 - Supervisor of “World Federations Students” – G. Lomidze;

 

 

 

SCIRNTIFIC ARTICLES

 

1.         I. Tavkhelidze,  Liouville's theorems for second order elliptic and parabolic equations. (Russian) Vestnik MSU (Moscow state university). 1976.  N 4. pp. 28-35 ;

2.         I. Tavkhelidze,  On behavior of solutions of elliptic and parabolic equations in unbounded domains. (Russian).  Proceeding of URSS conference in partial differential equations (dedicated to  I. Petrovski) 1976, pp. 459-460;

3.         O. Oleinik, I. Tavkhelidze,  and G. Yosif'an, Bounds for the  solutions of a biharmonic equation in the neighborhood of non-regular  boundary points and at infinity. Russian Math.Surveys 33:3(201) (1978), pp. 169-170;

4.         I. Tavkhelidze,  On the solutions of polyharmonic equations with Dirichlet boundary conditions, Soviet math. dokladi 1979 v.20, N4(208), trans. Keller , pp. 709-713;

5.         I. Tavkhelidze,  On solutions of equations of plane elasticity theory of non -homogeneous bodies. Uspehi. Mat. Nauk 1979. v. 34. N. 4 (208), pp.150-151;

6.         I. Tavkhelidze,  On the Asymptotic behavior of solutions of  a poliharmonic equation in a neighborhood of non-regular boundary points  and at infinity. Russian Math. Surveys 34:5(209) (1979), pp.251-252;

7.         I. Tavkhelidze,  Saint-Venant's principle and asymptotic of solutions of high order elliptic equations. (Russian manuscript), Moscow State University press, pp.1-15;

8.         O. Oleinik, I. Tavkhelidze,  and G. Yosif'an, On the behavior of solutions of the equations of plane elasticity the neighborhood of irregular points and at infinity. Amer. Math. Soc. Transl. 1985, (2), v. 126, (trans. R. Schmidt), pp. 45-60;

9.         O. Oleinik, I. Tavkhelidze,  and G. Yosif'an, Asymptotic behavior of solutions of biharmonic equations in the neighborhood of irregular points of boundary and at infinity . Proceeding of Moscow Mathematical Society  1981 v.42, pp.160-175;

10.     I. Tavkhelidze,  Asymptotic behavior of solutions of Polyharmonic equations (Russian),  Abstracts – of workshop “General Mechanics & Theory of Elasticity”, p.83;

11.     I. Tavkhelidze,  Analogue of St-Venant’s principle for a polyharmonic equation and application of it,   Math. USSR Sbornik 1983, v.46 N 2. (trans. H.H. McFaden), pp.237-253;

12.     I. Tavkhelidze,  Estimates of derivatives of solutions of polyharmonic equations in the neighborhood of irregular points of boundary and at infinity. (Russian) Proceeding of Tbilisi State Univer. Math.-Mech.-Astron..1982. v. 13-14, (232-233), pp. 233-254;

13.     I. Tavkhelidze,  Natural boundary conditions for polyharmonic equations on the plane. (Russian), Partial Differential equations and its applications. Tbilisi, 1982, 227-234;

14.     I. Tavkhelidze,  Energetic Estimates St-Venant’s type for Solutions of High Order Elliptic Equations,  Abstracts of Symposium in Partial Differential Equations and its applications –Tbilisi, 21-23. IV.1982, p.18;

15.     I. Tavkhelidze,  Analogous of Saint-Venant's principle for plane non-homogeneous bounded and unbounded bodies. (Russian),  Proceeding of Tbilisi State Univer. - Math.-Mech.-Astron. 1985,19-20 (259), pp. 275-294;

16.     J.Gvazava, E. Obolashvili, I. Tavkhelidze  and A. Tsitskishvili A.) Differential Equations of Mathematical Physics and Hydromechanics  (Russian) A. Razmadze Institute of Mathematics 1985, pp.72-83;

17.     I. Tavkhelidze,  On the behavior of solutions of elliptic equations in the unbounded domains. (Russian), Reports of the enlarged session seminar of I.Vekua IAM 1986, v. 2, N. 1. pp.58-61;

18.     I. Tavkhelidze,  The Green's functions from polyharmonic equations in the half-space, Uspehi. Mat. Nauk 1989, v. 44, 4 (268), p.215;

19.     I. Tavkhelidze,  Some properties of solutions of the first boundary value problem of polyharmonic equation in unbounded domains. (Russian). Reports of the enlarged session seminar of I. Vekua IAM 1989., v. 4, N 1, pp.108-111;

20.     I. Tavkhelidze,  The uniqueness theorems of Riquie's problem of polyharmonic equations in the half-space. (Russian). Reports of the enlarged session seminar of I. Vekua IAM 1991 ., v.6, N 1, pp. 69-71;

21.     I. Tavkhelidze,  On some properties of solutions of the polyharmonic equations. Abstracts, continuum mechanics and related problems of analysis Symposium dedicated to the centenary of N.Muskhelishvili, Tbilisi, 1991, p.118;

22.     I. Tavkhelidze,  Some properties of solutions of biharmonic equations in the half-space. (Russian) Bulletin of the Academy of Sciences of Georgia, 1992, 145, N 3, pp. 481-484;

23.     I. Tavkhelidze,  The asymptotic behavior of some problems of the bi- harmonic equation in the half-space and uniqueness theorems. Proceedings of I. Vekua institute of applied mathematics Tbilisi state university, 1992, v. 47, pp.156-165;

24.     I. Tavkhelidze,  On the Behavior of Solutions of the One Class Elliptic Equations,  Reports of the enlarged session seminar of I. Vekua IAM  1995, v. 10, N 1, pp. 61-65;

25.     I. Tavkhelidze,  Some properties of solutions the Dirichlet boundary value problem for Poisson equation in the infinity, Differential equations and Math. Physics. (abstracts  intern. symposium dedicated 90-th an. acad. I.Vekua, 1997 Tbilisi, Georgia, p. 95;

26.     I. Tavkhelidze,  Asymptotic of solution of Dirichlet boundary value problem for polyharmonic equation in the polyhedral “canonical” angles. Reports of the enlarged session seminar of I. Vekua IAM , 1997, v. 12, N 1, pp.30-32;

27.     I. Tavkhelidze,  Asymptotic of solution of Dirichlet boundary value problem for one 4-th order elliptic equation in the polyhedral “canonical” angles (in Georgian), Sukhumi Branch of Iv. Javakhishvili state University, Report in conference dedicated 90-th an. acad. I.Vekua , 1997 Tbilisi, Georgia, p.6;

28.     V.Gogichashvili, L. Korkotashvili, I. Khokhiashvili, I. Tavkhelidze and A. Tsiskaridze. About development of a computer network of Tbilisi State University.  Reports of the enlarged session seminar of I. Vekua IAM , 1998, v. 13, N 4, pp. 38-41;

29.     I. Tavkhelidze,  Some properties of solutions the Dirichlet boundary value problem for some high order elliptic equations  in the infinity. Reports of the seminar of I. Vekua IAM 1998, v. 24, pp. 31-45;

30.     C. Cassisa, P.E. Ricci and I. Tavkhelidze,  On the behavior of solutions of the one special type 4-th order elliptic equation in the neighborhood of irregular boundary points. Applied Mathematics and Informatics V.4. N2, 1999,Tbilisi, pp.11-29;

31.     I. Tavkhelidze,  On the behavior of solutions of one special type 4-th order elliptic equation in the neighborhood of irregular boundary points. Reports of Enlarged Sessions of the seminar of I. Vekua Institute of Applied Mathematics v. 14, N1, 1999, pp.58-61;

32.     I. Tavkhelidze,  Some property of one class of geometrical figures. Bulletin of  TICMI   v.4, 2000,pp. 51-55;

33.     I. Tavkhelidze,  On the Some Properties of One Class of Geometrical Figures and Lines.  Reports of Enlarged Sessions of the seminar of I. Vekua Institute of Applied Mathematics v.16, N1, 2001, pp.35-38;

34.     I. Tavkhelidze,  Some remarks on a class of geometric figures. Bulletin of TICMI   v.6, 2002, pp 41-45;

35.     T.Davitashvili, A.Khantadze and I. Tavkhelidze,  The investigation of climate cooling with the account of regional and anthropogenic factors in the western Georgia. Reports of Enlarged Sessions of the seminar of I. Vekua Institute of Applied Mathematics  v. 17, N3, 2002, pp. 30 – 37;

36.     C. Cassisa, P.E. Ricci and I. Tavkhelidze,  An Operatorial Approach to Solutions of Boundary Value Problems in the Half-Plane. Journal of Concrete and Applied Mathematics  (USA) V.1 (2003), pp.37-62;

37.     C. Cassisa, P.E. Ricci and I. Tavkhelidze, Operational Identities for circular and Hyperbolic Functions and their Generalizations. Georgian Mathematical Journal v. 10 (2003), N 1, pp. 45-56;

38.     T. Davitashvili, A. Ebel, H.Elbern, D.Gordeziani, H.J. Jakobs, M. Memmesheimer and I. Tavkhelidze, Numerical modeling of air pollution on regional and local scales.  Abstracts – of Sixth ISTC Scientific Advisory Committee Seminar, (Science and Computing) Moscow, Russia, IX.15-17, 2003, pp.  24-25.   http://www.istc.ru/istc/db/sem.nsf/wu/S031000 ;

39.     I. Tavkhelidze, About geometrical structure of coefficients of one ordinary differential equation which defined the a priory energetic estimate Sent-Venant’s type. Reports of Enlarged Sessions of the seminar of I. Vekua Institute of Applied Mathematics v.18, N1, 2003, pp. 48-51;

40.     I. Tavkhelidze, Some Properties of a class of geometrical bodies, surfaces and lines (in Russian), Proceedings of Odlar Urdu University, Baku, Azerbaijan 2003, pp.60-65;

41.     I. Tavkhelidze, On the analytic representation of one class of geometric figures, surfaces and lines, Reports of I. Vekua Institute of Applied Mathematics v. 29,  2003, pp. 26-32;

42.     I. Tavkhelidze, On the a priori energetic estimations for one class high order elliptic differential equation, (manuscript in Georgian and Russian),  Tbilisi State University press 2004 , pp.1-42;

43.     P.E. Ricci and I. Tavkhelidze, About the Analytic Representation of a Class of Geometrical Figures, Surfaces and Lines,  Reports of Enlarged Sessions of the seminar of I.Vekua Institute of Appled Mathematics v.20,N1, 2005, pp.12-15;

44.     I. Tavkhelidze, About some scientific investigations of Tbilisi State University which are connected to “Air, Water and Soil Quality Modeling for Risk  and Impact Assessment”.  Abstracts of NATO Advanced Research Workshop -  “Air, Water and Soil Quality Modeling for Risk  and Impact Assessment” – Tabakhmela, Georgia, 16-20 IX. 2005, pp. 42-43 http://www.eurad.uni-koeln.de/NATO-ARW-Georgia/index.html

45.     C. Cassisa, P.E. Ricci and I. Tavkhelidze, Exponential operators for solving evolution problems with degeneration, Journal of Applied Functional Analysis (USA) N 1,  (2006), pp. 33-50;

46.     C. Cassisa, P.E. Ricci and I. Tavkhelidze, Exponential operators and solution of pseudo-classical evolution problems, Journal of Concrete and Applicable Mathematics (USA) N4,  (2006), pp. 33-45;

47.     C. Cassisa, P.E. Ricci and I. Tavkhelidze, An Operatorial Approach to Solutions of Boundary Value Problems in the Half-Plane. Focus on numerical Analysis (by J.P.Liu – 2006  Nova Science Publishers Inc. chapter IV),  pp.113 – 131;

48.     I. Tavkhelidze and P.E. Ricci, Classification of a Wide Set of Geometric Figures, Surfaces and Lines - (Trajectories), Rendiconti Academia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicazioni, Serie V, vol.XXX, Parte 1, 2006 - 124 o, Dalla Fondazione (1782)  Roma, pp. 191-212;

49.     I. Tavkhelidze, On Some Properties of Solutions of Polyharmonic  Equation in Polyhedral Angles, Georgian Mathematical Journal v. 14 (2007), N 3, pp. 565 – 580;

50.     I. Tavkhelidze, Classification of a Wide Set of Geometric Figures,  Lecture Notes of TICMI, V. 8,  2007, Tbilisi, Georgia.pp. 53-61, http://www.viam.science.tsu.ge/others/ticmi/Int/vol8/volum8.htm;

51.     P.E. Ricci and I. Tavkhelidze, An introduction to operational techniques and special polynomials, Journal of Mathematical Sciences vol. 157, N1, 2009, pp. 161-189;

52.     C. Cassisa, P.E. Ricci and I. Tavkhelidze, Operational methods and solution  of BVP with periodic data,  Journal of Mathematical Sciences vol. 157, N1, 2009, pp. 85 – 97;

53.     C. Cassisa and I. Tavkhelidze, About Some Geometric haracteristic of the  Generalized Möbius Listing's urfaces . Georgian Electronic Scientific Journal: Computer Science and Telecommunications 2009| No.4(21), pp.54-84 http://gesj.internet-academy.org.ge/ge/list_artic_ge.php?b_sec=comp;

54.     I. Tavkhelidze, About Some Geometric Characteristic of the  Generalized Möbius Listing's surfaces  (in Georgian and English), Bulletin of St. Andrew the First-Called Georgian University of the Patriarchy of Georgia v.II (Tbilisi) 2009, pp. 89-98;

55.     C. Cassisa, P.E. Ricci and I. Tavkhelidze, Some Connection of the Generalized Möbius Listing’s surfaces  GML with Sets of Knots and Links. Reports of the seminar of I.Vekua Institute of Applied Mathematics v.35, 2009, pp. 47-51;

56.     I. Tavkhelidze, About Some Geometric Characteristic of the Generalized Möbius Listing's surfaces  and its Connnections with set of Ribbon Links, Proceedings of Sukumi State Universitis v. VII. 2009, (mathematic and computer science series )(dedicated to the remembering of Prof. R.Absava), pp. 65 – 90;

57.     C. Cassisa, P.E. Ricci and I. Tavkhelidze, About Connection of the generalized Möbius Listing’s surfaces  with Sets of Knots and Links, Lecture Notes of Seminario Interdicciplinare di Matematica Vol. IX.  (2010) Proceeding of the 4th workshop on Advanced Special Functions and solution of PDE's On the occasion of Paolo Emilio Ricci’s Retirement, pp. 187- 200;

58.     I. Tavkhelidze, About Connection of the Generalized Möbius-Listing's  surfaces GMLnm with Sets of Ribbon Knots and Links, Proceedings of  the International conference “Modern Algebra and its Applications” – Batumi, Georgia  2010 (20-26 IX), pp. 147-152;

59.     I. Tavkhelidze, About Some Properties of the Ribbon Links, which are Generated by Generalized Mëbius Listing's  surfaces GMLnm,  Proceedings of the International conference “Modern Algebra and its Applications”Special Session dedicated to Prof. Boris Plotkin on the occasion of this 85 th birthday, Batumi, Georgia  2010 (20-26 IX), pp. 182-201;

60.     P.E. Ricci and I. Tavkhelidze, About Some Geometric Characteristic of the Generalized Möbius Listing’s surfaces, Georgian Mathematical Journal, v. 18  (2011), N 2 De Gruyter, pp. 329-343;

61.     I. Tavkhelidze, Classification of a Wide Set of Trajectories, Proceedings of the International scientific conference devoted to 80th anniversary of Academician I.V.Prangishvili “Information and Computer technologies, Modelling, Control” – USA – Nova Publisher 2011, pp. 571-581;

62.     D.Caratelli, J.Gielis, P.Natallini, P.E.Ricci and  I. Tavkhelidze, The Robin problem for Helnholtz equation in a starlike planar domain, Georgian Mathematical Journal,  v. 18  (2011), N 3,De Gruyter, pp. 465 – 481;

63.     J.Gielis, P.E.Ricci and  I. Tavkhelidze, Bulky Links, which are Generated by  Generalized Mëbius-Listing's  bodies GMLn2 , Proceedings of the International conference “Modern Algebra and its Applications” vol.1– Batumi, Georgia 2011 (19-25 IX), pp. 115-128;

64.     I. Tavkhelidze,  About Connection of the Generalized Möbius-Listing's surfaces with Sets of Ribbon Knots and Links, Український Математичний Конгрес-2009, Секція 2.  Топологія і геометрія, Збірник праць, Iн-ту математики НАН  України  2011, pp. 177-190;

65.     M.Rogava and  I. Tavkhelidze, Anatomic-functional Geometry of Heart with Matematical Algorithm,Cardiology and Internal Medicine XXI, N1-4 (XXXIII-XXXVI),Tbilisi,2011, pp. 117-128;

D.Caratelli, M.Rogava, I. Tavkhelidze and M.Transirico, On Some Characteristics of  the Moving Generalized Mobius-Lsting’s Bodies,  Journal Applied Mathematics, Informatics and Mechanic  2012, pp.3-15;

66.     Johan Gielis, Diego Caratelli, Yohan Fougerolle, Paolo Emilio Ricci, Ilia Tavkhelidze and Tom Gerats, Universal Natural Shapes: From Unifying Shape Description to Simple Methods for Shape Analysis and Boundary Value Problems, journal PlosONE , 27,IX, 2012, pp.1-18 http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0029324;

67.     D.Caratelli, J.Gielis, P.E.Ricci and I. Tavkhelidze, Sperical Harmonic Solution of the Robin Problem for the Helmholtz Equation in a Suprshaped Shell, Applied Mathematics, Volume 4, Number 5A, May 2013 (Special Issue on Finite Element Method) Vol. 4, No. 1A, pp. 263-270;

68.     I. Tavkhelidze, C.Cassisa, J.Gielis and P.E.Ricci,  About “Bulky” Links, Generated by  Generalized Mëbius-Listing's  bodies GMLn3,  Rendiconti Lincei Mat. Appl. 24 (2013), pp. 11-38;

69.     J.Gielis, P.E.Ricci and I. Tavkhelidze, Veliki uzlovi I poveznici dobivene rezanjem  generaliziranih Möbius-Listing tijela (Croatian per. Tanja Soucie), Poučak  - Časopis za metodiku i nastavu matematike Godina 13., Broj 51., Listopad 2012, pp. 10-18;

70.     D.Caratelli, J.Gielis, P.E.Ricci and I. Tavkhelidze, The Dirichlet Problem for the Laplace Equation in Suoershaped Annuli, Boundary value Problems a Springer open Journal , 2013:113 Ded. to Prof Hari M. Srivastava (in print) http://www.boundaryvalueproblems.com/content/2013/1/113/abstract;

71.     I. Tavkhelidze About Some Properties of the Ribbon Links, which are Generated by Generalized Mëbius Listing's  surfaces GMLnm. Journal of Mathematical Sciences , June 2013, Volume 191, Issue 6, pp. 853-870   http://link.springer.com/article/10.1007%2Fs10958-013-1366-x ;

72.     D.Caratelli, J.Gielis, P.E.Ricci and I. Tavkhelidze, Some properties of \Bulky" Links, generated by Generalized Möbius-Listing's Bodies GMLn4, PROCEEDINGS of the International Conference - Lie Groups, Differential Equations and Geometry, June 10-22, 2013, Batumi, Georgia, pp.30-43.  

 

 

 

 

 

MAIN CONFERENCES, SEMINARES AND OTHER SCIENTIFIC FORUMES

 

Every Year 1976 – 1988 and in 1991I.G. Petrovski Conference on Differential Equation in Moscow State University (URSS and after Russia);

Every Year - 1988 - up to now. Enlarged Sessions of the seminar of I. Vekua Institute of Applied Mathematics  (1988 – 2008 Member of Organizing Group) (Tbilis, Georgia);

1976 International Conference “Partial Differential Equations” (dedicated to 75 anniversary of Prof.Iv.Petrovsky) – Moscow 27-31. I. 1976 (URSS) “About behavior of solutions of elliptic and parabolic equations in unbounded domains”;

1977 International School – Workshop  “Small parameters method and Application of it ” (dedicated to 70 anniversary of Prof.A.N.Tikhonov) – “Noorus” – Estonia; 15-23. VI. 1977  About behavior of solutions of elliptic and parabolic equations in unbounded domains”;

1981 – International Conference “Partial Differential Equations” (dedicated to Prof. Lopatinsky memory) – Lviv- Mukachovo – Ujgorod  6-13. IX. 1981  About behavior of solutions of polyharmonic equation  in unbounded domains”;

1981 –VII URSS- Czechoslovak Seminar “Application of the methods of Functions Theory and Functional Analysis to the problems of Mathematical Physics”– Erevan – Tsakhkadzor - Armenia;  28. IX. -3. X. 1981  A priory energetic estimates Saint-Venant’s type and solutions of the high order elliptic equation ”;

1982International Conference “M.A.Lavrentiev’s seminar in Mathematic, Mechanic and Physic”,  Novosibirsk – (Russia);  6.-10 IX.1982;

1991“Continuum mechanics and related problems of analysis” Symposium dedicated to the 90-th an. prof. Muskhelishvili, 1991, Tbilisi, Georgia .

1993Scientific Seminar in Wenstmister University, London. Report – “Saint-Venant’s principle and its apllications”;

1997 – “Differential equations and Math. Physics”. Symposium dedicated to the 90-th an. I. Vekua, 1997 Tbilisi, Georgia

2005, 2004, 2001, 1998  - Seminares and lectures in  Università degli Studi di Roma “La Sapienza”

1999 - NATO - Advanced networking workshop “Networking developments in the Caucasus Region” (15-19. 10. 1999 – Tbilisi -Tabahmela) - (Member of Organizing Group), report “About some principle of organization of scientific computer network of TSU”;

1999 SofTEC’99 – conference 22-23.VI. 1999, Tbilisi;

2000 - Franco-Georgian Workshop in Applied Mathematics October 23-27, 2000, Tbilisi, Georgia;

2003 – International Workshop on Orthogonal Polynomials and their Applications 22-24. X. Tbilisi

2003 – “Potential theory : Applications in solid mechanics , Acoustics  and Scattering Theory” International Conference dedicated 100-th an. prof. V.Kupradze, 2003 October  Tbilisi – “An analogue of Saint-Venant’s principle and its application”;

2005 - NATO Advanced Research Workshop -  “Air, Water and Soil Quality Modelling for Risk  and Impact Assessment” 16-20 IX. 2005  – Tabakhmela, Georgia

2005   “Problems of rivers monitoring and ecological safety of South Caucasus ” - GRDF   – International Conference – Tbilisi, Georgia;

2005 Seminar  Universta degli Studi di Roma “La sapienza” Dipartamento Matematica Istituto “Guido Castelnuovo”” – 18. XI. 2005 - Classification of a Wide Set of Geometric Figures, Surfaces and Lines – (Trajectories)- (with C.Cassisa, P.E.Ricci and A.Tsiskaridze )-

 Part I: Static and Part II: Dynamic cases;

2006 - Enlarged Sessions of the seminar of I.Vekua Institute of Applied Mathematics  2006 - On some Properties of Generalized Möbius-Listing’s  Figures and  Surfaces (with T.Abesadze, N.Avazashvili , M.Nakashidze);

2007 - ISAAC Conference on Complex Analysis, Partial Differential Equations, and Mechanics of Continua Dedicated to the Centenary of  Ilia Vekua (I. Vekua Institute of Applied Mathematics of  Iv. Javakhishvili Tbilisi State University Monday, April 23 - Friday, April 27, 2007) “Analitic representation of a wide set of geometric figures”.

2008 Scientific Seminar in Collogne University , April 23 , 2008“Analitic representation of a wide set of geometric figures”;

2008 -  International workshop Conference dedicated to the 70-th birthday of prof.V.G. Maz’ya  “La Sapienza” Universita Roma 1 , Juni 30 – juli 3 , 2008 C

2008 Scientific Seminar in “La Sapienza” Universita Roma 1 , October 14 , 2008,  About Some Geometric Characteristic of the Generalized Möbius Listing's surfaces .

2009 – Enlarged Sessions of the seminar of I. Vekua Institute of Applied Mathematics 21-23 April Tbilisi, Georgia,  About Some Geometric Characteristic of the Generalized Möbius Listing's surfaces.

2009 –  4-th workshop Advanced Special Functions and Solutions of PDEs ; Mean speaker - About Connection of the Generalized Möbius Listing’s surfaces  with Sets of Knots and Links”;  24-28 V. 2009. Sabaudia (Italia); http://ricerca.mat.uniroma3.it/adsfpde/

2009 – Ukrainian Mathematical Congress – 2009 (dedicated to the Centennial of Nikolai N.Bogoliubov) 27-29-VIII. 2009, About Connection of the Generalized Möbius Listing’s surfaces  with Sets of Knots and Links”, http://www.imath.kiev.ua/~congress2009/program/Program_Topology.pdf

2009 - Methods of Effective and Explicit Solving of Boundary Value Problems, 6-8 October, 2009, TBILISI INTERNATIONAL CENTRE  OF MATHEMATICS  AND  INFORMATICS http://www.viam.science.tsu.ge/others/ticmi/programs/program2009.htm ;

2010 – International conference “Informational and Computational Teqnologies” – dedicate to  remembering of Prof. Elene  Decanosidze and  Prof. Murman Tsuladze, Tbilisi 2-6 May  2010.

2010 - International Workshop Modern Algebra and its ApplicationsBatumi, Georgia, 2010 (20-26 IX);

2011 - International Workshop Modern Algebra and its Applications – Batumi, Georgia, 2011 (19-25 IX);

2011 - International conference on Mathematical Modelling of Environment Pollution Problems and Assessment of Rissk Factors - Tbilisi, Georgia  14-15.XII. 2011

2011 - International conference Advanced Learning Technologies (ALTA’2011) - Kaunas, Lithuania 27.X. 2011;

2012 Lecture in the presidium of Academy of Science of Georgia 25.I.2012 (“Generalized Mebius-Listing’s bodies and some their properties”)

2012 - Math Art Summit    Friday, 2pm – 5pm  (May 24 and 25), 2012 – Brussels  (“Bulky KNOts and links generated by cutting Generalized Möbius-Listing Bodies and applications in the natural sciences”  Gielis J., Tavkelidze I., Caratelli D., Fougerolle Y. , Ricci P.E.)  http://etopia.sintlucas.be/3.14/Wiskunst/Wiskunst_Brussels_2012_Friday.htm

2012 Lectures in University of Salerno (Italy) 07.V 2012 (“Generalized Mebius-Listing’s bodies and some their properties”);

2012 (6.XI – 8.XI.) – Three lectures in Vilnius University ;

2013 June 10-22 - International Conference - Lie Groups, Differential Equations and Geometry, (member of organizing comite ) - Some properties of \Bulky" Links, generated by Generalized Möbius-Listing's Bodies GMLn4 (with D.Caratelli, J.Gielis, P.E.Ricci ).

 

 

1999 – 2005 Coordinator - of the ISPM (International Seminar in Physics and Mathematics ) UNESCO Regional Bureau for Science in Europe;

 

·         Scientific Background and Practical Tools  School and Workshop for Ecological Expertise
September 24-29, 2001, Tbilisi, Georgia;  with prof. T. Davitashvili, and prof. A. Ebel (Germany);

·         Modern methods of functional analysis in applications April 22-27, 2002, Tbilisi, Georgia
In cooperation with Enlarged Sessions of the Seminar of Institute of Applied Mathematics
(Tbilisi State University);
 

·         Mathematical Modeling and Management of Environmental Changes in Transitional Economies School and International Conference September 16-21, 2002, Tbilisi, Georgia;  with prof. T. Davitashvili,  and prof. A. Ebel (Germany);

·         Modern Problems of Mathematical Physics and Partial Differential Equations International Workshop April 22-26, 2003, Tbilisi, Georgia;

·         Mathematical Modeling and Monitoring of the Environmental Pollution International Conference September 22-27, 2003, Baku, Azerbaijan with prof. T. Davitashvili (Georgia), prof. A. Ebel (Germany), and prof. A. Veliev (Azerbaijan);

·         Potential Theory: Applications in Solid Mechanics and Acoustic and Electromagnetic Scattering International Conference October 27- November 1, 2003, Tbilisi, Georgia , with prof. D. Natroshvili (Georgia).

·        “Air, Water and Soil Quality Modelling for Risk  and Impact Assessment” NATO Advanced Research Workshop  16-20 IX. 2005  – Tabakhmela, Georgia, (member of local organizing group) http://www.eurad.uni-koeln.de/NATO-ARW-Georgia/index.html