The Cauchy problem for a doubly nonlinear parabolic equation with inhomogeneous density and sources

Subject Mathematical and computer modelling
Title The Cauchy problem for a doubly nonlinear parabolic equation with inhomogeneous density and sources
Author(s) Mirsaid Aripov and Zafar Rakhmonov
Keywords global solvability, nosolvability, asymptotic, numerical analysis.
Abstract In the paper we study the Cauchy problem for a double nonlinear degenerate parabolic equation with source and inhomogeneous density. We establish conditions for the existence and nonexistence of a global solution. In the case of global solvability, we obtain of the asymptotic behavior of the self – similar solution.