On the nonexistence and existence of global solutions of boundary value problems for quasi-linear parabolic equations
Abstract
Sufficient conditions are determined for the existence or nonexistence of global solutions of quasi-linear parabolic equations. These equations describe the propagation of thermal disturbances in a medium with nonlinear thermal conductivity and a nonlinear heat source.
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- December 1982
- Bibcode:
- 1982ZVMMF..22.1369G
- Keywords:
-
- Boundary Value Problems;
- Existence Theorems;
- Flow Distortion;
- Heat Transfer;
- Parabolic Differential Equations;
- Linear Equations;
- Temperature Dependence;
- Thermal Conductivity;
- Fluid Mechanics and Heat Transfer