info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Investigation of the influence of different physical fields on the periodic and quasi-periodic structures (#GNSF/ST08/3-395)


Funded by

SRNSFGShota Rustaveli National Science Foundation of Georgia

Start Date: 2009-03-01       End Date: 2012-03-01

The main goal of the project was the study of the influence of different waves on the crystalline, molecular and other periodic structures, creation of new models and investigation of the existence and uniqueness of solutions of known models. Besides, to obtain an approximate solutions and exact solutions in some spatial cases.
More precisely , we have studied some modifications of the Schrodinger and Navier-Stokes Equations for the crystalline and molecular structures with the suitable initial-boundary conditions.

Project members:

Publications

  • Archil Papukashvili, Gela Manelidze, ON APPLICATION OF ALTERNATING TO PERTURBATION TECHNIQUES METHOD TO SINGULAR INTEGRAL EQUATIONS CONTAINING AN IMMOVABLE SINGULARITY., Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. v.23, Tbilisi 2009. p. 76-79. , Tbilisi University Press , 2009.
  • Archil Papukashvili, Gela Manelidze, Approximate solution of some linear nonhomogeneous operator equations by approach alternative to asymptotic method , Proceedings of the 2 nd WSEAS International Conference on FINITE DIFFERENCES, FINITE ELEMENTS, FINITE VOLUMES, BOUNDARY ELEMENTS ( F-and-B’09 ). Tbilisi, Georgia, June 26-28, 2009. p.150-153., Published by WSEAS Press, 2009.

Additional Information

In the frame of the project we have published 20 articles and made presentations at the 24 scientific forum.