Project Name :Characteristic problems for some classes of nonlinear hyperbolic equations
Donor Organization :Georgian National Science Foundation
Budget:--
Grant number :GNSF/ST06/3-005
Research Direction :5 Mathematics, Mechanics
Sub Direction :5-101 Differential Equations
Keyword(s) :
Description : The basic aim of the present project is the investigation of singular properties of solutions of some characteristic problems posed for special classes of nonlinear hyperbolic equations. Here are meant blow-up of solutions, a gradient catastrophe, the structure of domains of propagation for cracked solutions, etc.
The case when instead of initial conditions operate the perturbations of another nature is not less important. It is greatly actual to consider the singularities of solutions if they are connected with characteristic perturbations.