Gia Avalishvili

   

Date of birth:             October 26, 1977

Place of birth:             Tbilisi, Georgia

Marital status:              Single

Nationality:                Georgian

Mailing address: I. Vekua Institute of Applied Mathematics, Tbilisi State University, University Str. 2, 0143 Tbilisi,  Georgia

E-mail:                        gavalish@viam.hepi.edu.ge

Tel.:                            (+99532) 694200 (H), 303040 (W)

Languages:                 Georgian (native), Russian, English and French

Education:                  - Graduated from specialized Tbilisi I. Vekua physical-mathematical school  N 42 with Diploma of Honour;

1994-1998                  - Student, Bachelor’s course, Iv. Javakhishvili Tbilisi State University, Faculty of Mechanics and Mathematics

1998                            - Bachelor of Mathematics, Diploma with Honours

1998-2000                  - Student, Master’s course, Iv. Javakhishvili Tbilisi State University, Faculty of Mechanics and Mathematics

2000                            - Master of Informatics

Degree:                     

2002                            - Candidate of Physics and Mathematics (Tbilisi State University, May 3, 2002)

Awards:                    

Bronze medal of International Mathematical Olympiad (1993);

The 2nd prize of Young Physicist’s International Tournament (1994);

The 1st prize of the I conference of Soros students and post-graduate students (1995);

The 1st prizes in the sections of mathematics and biology of the II conference of Soros students and post-graduate students (1996);

The 2nd prize of the III conference of Soros students and post-graduate students (1997);

The 1st prize of the IV conference of Soros students and post-graduate students (1998);

The 1st prize of the IV conference of Soros students and post-graduate students (1999);

The George Schulz Award (1998);

The 1st prizes and Governmental Diplomas for the best scientific works at the republic scientific conferences “Students’ Days – 1997-2000” (1997-2000);

The Soros Foundation Scholarship, 1995-1999 years;

The 1st prize of the Soros republic conference-competition of students and post-graduate students (2000);

The 1st prize of the Soros republic conference-competition of students and post-graduate students (2001)

Employment:

1995-2000             - Laboratory assistant at I. Vekua Institute of Applied Mathematics, Tbilisi State University

2000-2001             - Junior researcher at I. Vekua Institute of Applied Mathematics, Tbilisi State University

2001-present   - Director of Youth Center for Implementation and Development of Information Technologies, Tbilisi State University

Area of expertise: Nonclassical problems for partial differential equations, nonlinear mixture theory, problems of exact controllability, construction and investigation of lower dimensional models in the theory of elasticity

Fields of Research Interest: Mathematical modeling, Numerical analysis, Informatics 

 

List of scientific publications

1.        D. Gordeziani, N. Gordeziani, G. Avalishvili, On one class of nonlocal problems for partial differential equations, Rep. of Enlarged Sessions of the Seminar of I. Vekua Inst. Appl. Math., vol. 10, N 3, 1995, 20-22;

2.      D. Gordeziani, N. Gordeziani, G. Avalishvili, Nonlocal boundary value problems in mathematical physics, Abstr. of Int. Symp. Ded. to the 90th Birth. Ann. of Acad. I. Vekua Demph’97, 127-128;

3.       D. Gordeziani, G. Avalishvili, Investigation of the nonlocal initial boundary value problems for the string oscillation and telegraph equations, AMI, vol. 2, 1997, 65-79;

4.      D. Gordeziani, N. Gordeziani, G. Avalishvili, On the investigation and resolution of nonlocal boundary and initial boundary value prob­lems, Rep. of Enlarged Sessions of the Seminar of I. Vekua Inst. Appl. Math., vol. 12, N 3, 1997, 18-20;

5.       D. Gordeziani, G. Avalishvili, On the investigation of nonlinear models of the theory of mixtures, Abstr. of Symp. Ded. to the 95th  Birth. Ann. of Acad. V. Kupradze Demph’98;

6.      D. Gordeziani, N. Gordeziani, G. Avalishvili, Nonlocal boundary value problems for some partial differential equations, Bull. Georgian Acad. Sci., vol. 157, N 3, 1998, 365-368;

7.       G. Avalishvili, D. Gordeziani, Nonlocal problems for a vibrating string, Bull. TICMI, vol. 2, 1998, 22-24;

8.       G. Avalishvili, Problem of exact controllability for one-dimensional wave equation, Rep. of Sem. of I. Vekua Inst. Appl. Math., vol. 25, 1999, 16-21;

9.      G. Avalishvili, On the inestigation of nonlinear models of elastic mixtures, Abstracts of the students best scientific papers of the scientific conference dedicated to the 80th foundation anniversary of Tbilisi State University, Tbilisi, 1999, 8-10 (in Georgian);

10.   G. Avalishvili, D. Gordeziani, Non­­classical problems for the second order hyperbolic equations, Bull. TICMI, vol. 3, 1999, 18-21;

11.     G. Avalishvili, D. Gordeziani, On the investigation of plurievolution equations in abstract spaces, Rep. of Enlarged Sessions of the Seminar of I. Vekua Inst. Appl. Math., vol. 14, N 3, 1999, 12-16;

12.   D. G. Gordeziani, G.A. Avalishvili, Resoluition of nonlocal problems for one-dimensional medium oscillation equations, Mat. Mod., vol. 12, N 1, 2000, 94-103 (in Russian);

13.  D. Gordeziani, N. Gordeziani, G. Avalishvili, On the investigation and resolution of non-local boundary and initial boundary value problems, Abstracts of Intern, Conf. "Informatics, Computational and Applied Mathematics: theory, applications, perspectives", Kiev, 1996 (in Russian);

14.  D. Gordeziani, G. Avalishvili, On the investigation of nonlocal problems in time for hyperbolic equations, Bull. Georgian Acad. Sci., vol. 162, N 2, 2000, 229-232;

15.  G. Avalishvili, D. Gordeziani, On one class of spatial nonlocal problems for some hyperbolic equations, Georgian Math. J., vol. 7, N 3, 2000, 417-425;

16.  D. Gordeziani, G. Avalishvili, On the investigation of the boundary value problem for nonlinear model in the theory of elastic mixtures, Bull. Georgian Acad. Sci., vol. 163, N 1, 2001, 31-34;

17.  D. Gordeziani, G. Avalishvili, Investigation of the nonlocal initial boundary value problems for some hyperbolic equations, Hirosh. Math. J., vol. 31, N 3, 2001, 345-366;

18.  G. Avalishvili, Investigation of some nonclassical problems for hyperbolic equations, Ph.D. Thesis, Tbilisi State University, 2002 (in Georgian);

19.  D. Gordeziani, M. Avalishvili, G. Avalishvili, On one method of constructing of mathematical models of multistructures, Bull. Georgian Acad. Sci., 2002, vol. 166, N 3, 466-469;

20.  D. Gordeziani, G. Avalishvili, Investigation of nonlinear models in the theory of elastic mixtures, AMI, vol. 7,  N 2, 2002, 41-65;

21.  D. Gordeziani, M. Avalishvili, G. Avalishvili, On the investigation of one nonclassical problem for Navier-Stokes equations, AMI, vol. 7, N 2, 2002, 66-77;

22.  G. Avalishvili, Nonlocal in time problems for evolution equations of second order, J. Appl. Anal., vol. 8, N 2, 2002;

23.  D. Gordeziani, G. Avalishvili, On the investigation of static hierarchic model for elastic rods, Appl. Math. Inform. and Mech., vol. 8, N 1, 2003, 34-46;

24.  G. Avalishvili, On exact controllability of one system in the theory of elastic mixtures, Bull. Georgian Acad. Sci., vol. 167, N 3, 2003, 416-418;

25.  D. Gordeziani, G. Avalishvili, On the investigation of dynamical hierarchical model of multilayer elastic prismatic shell, Bull. Georgian Acad. Sci., vol. 168, N 1, 2003, 11-13;

26.  D. Gordeziani, M. Avalishvili, G. Avalishvili, Investigation of statical two-dimensional model of elastic plate, Proc. of Georgian Technical Univ., vol. 447, N 1, 2003, 9-17;

27.  G. Avalishvili, Problem of exact controllability of I. Vekua system for elastic plates, Bull. Georgian Acad. Sci., vol. 168, N 2, 2003, 200-202;

28.  D. Gordeziani, H. Meladze, G. Avalishvili, On one class of nonlocal in time problems for first-order evolution equations, J. Comp. and Appl. Math., vol. 88, N 1, 2003, 66-78.

29.  D. Gordeziani, G. Avalishvili, On statical two-dimensional model of multilayer elastic prismatic shell, Bull. Georgian Acad. Sci., vol. 168, N 3, 2003, 455-457;

30.  D. Gordeziani, G. Avalishvili, M. Avalishvili, On the investigation of a dimensional reduction method for elliptic problems, Rep. of the Sem. of I. Vekua Inst. Appl. Math., N 29, 2003, 15-25;

31.  G. Avalishvili, On one nonlocal in time problem for hyperbolic equation, Rep. of Enlarged Sess. of the Sem. of I. Vekua Inst. Appl. Math., vol. 18, N 1, 2003;

32.  G. Avalishvili, M. Avalishvili, Investigation of static hierarchic model for elastic shells, Bull. Georgian Acad. Sci., vol. 169, N 3, 2004, 451-453;

33.  D. Gordeziani, G. Avalishvili, On approximation of a dynamical problem for elastic mixtures by two-dimensional problems, Bull. Georgian Acad. Sci., vol. 170, N 1, 2004, 41-44;

34.  G. Avalishvili, M. Avalishvili, On a hierarchical model of elastic rods with variable cross-sections, Appl. Math. Inform. and Mech., vol. 9, N 1, 2004, 1-15.

 

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