*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)

**La****nguages:
**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

**D****egree:
**

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

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 90^{th} 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 95^{th } 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 80^{th} 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.