Uniqueness theorems for the solution of an inverse heat conduction problem
Abstract
The singlevalued 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 singlevalued conditions and group properties of the heat conduction equation, in particular, there is agreement between a class of temperature fields giving nonsinglevalued 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