The stability of positive solutions of inverse problems of heat conduction
Abstract
The time-inverse first and second boundary value problems for the heat-conduction equation are considered. Conditions are formulated for the isolation of compact classes of correctness, and it is shown that these inverse problems are stable in a uniform metric. These results are based on Tikhonov's approach (1943) and follow from the general functional properties of a manifold of positive solutions corresponding to direct problems.
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- December 1982
- Bibcode:
- 1982ZVMMF..22.1508G
- Keywords:
-
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Conductive Heat Transfer;
- Numerical Stability;
- Thermal Conductivity;
- Flow Equations;
- Time Dependence;
- Fluid Mechanics and Heat Transfer