On invariant solutions of the equation of nonlinear heat conduction with a source
Abstract
A group classification is presented for a nonlinear heat-conduction equation with an arbitrary element. An optimal system of subgroups is constructed and corresponding invariant solutions are written for each specialization of the arbitrary element.
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- December 1982
- Bibcode:
- 1982ZVMMF..22.1393D
- Keywords:
-
- Conductive Heat Transfer;
- Heat Sources;
- Invariance;
- Nonlinear Equations;
- Differential Equations;
- Group Theory;
- Thermal Conductivity;
- Fluid Mechanics and Heat Transfer