Uniqueness theorems for the solution of an inverse heat conduction problem
Abstract
The single-valued conditions of solution of the inverse heat conduction problem are formulated in terms of properties of an observed unsteady temperature field and possible sufficient variations of the initial distribution. A close relationship is found between single-valued conditions and group properties of the heat conduction equation, in particular, there is agreement between a class of temperature fields giving nonsingle-valued solution of the inverse problem and that of invariant solutions.
- Publication:
-
Inzhenerno Fizicheskii Zhurnal
- Pub Date:
- July 1975
- Bibcode:
- 1975InFiZ..29..145F
- Keywords:
-
- Conductive Heat Transfer;
- Thermal Conductivity;
- Thermophysical Properties;
- Uniqueness Theorem;
- Differential Equations;
- Operators (Mathematics);
- Temperature Distribution;
- Fluid Mechanics and Heat Transfer