Uniqueness theorems for some inverse heatconduction problems
Abstract
Heat treatment of metals, involving rapid thermal processes, is an example of situations where the mathematical determination of thermal characteristics makes it necessary to solve a certain inverse problem, i.e., from some information on the temperature field, obtained from direct measurements. The present paper deals with the uniqueness of inverse problems of this type. Uniqueness theorems are proven for the determination of the coefficients of a nonlinear parabolic equation from the boundary conditions.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 April 1980
 Bibcode:
 1980ZVMMF..20..388M
 Keywords:

 Conductive Heat Transfer;
 Thermal Conductivity;
 Uniqueness Theorem;
 Boundary Conditions;
 Boundary Value Problems;
 Integral Equations;
 Nonlinear Equations;
 Specific Heat;
 Fluid Mechanics and Heat Transfer