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Boundary inverse problem for conductive-radiative equations of heat transfer. (Russian. English summary) Zbl 1418.35226

Summary: The boundary inverse problem of finding the reflecting properties of the boundary region for stationary radiation-conductive heat transfer equations in the three-dimensional region is considered. The existence of a quasi-solution of the inverse problem is proved and an optimality system is obtained. An algorithm for solving a problem is presented, the effectiveness of which is illustrated by numerical examples.

MSC:

35K55 Nonlinear parabolic equations
35Q79 PDEs in connection with classical thermodynamics and heat transfer
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References:

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