Stochastic regularization of ill-posed problems of heat transfer

TitleStochastic regularization of ill-posed problems of heat transfer
Publication TypeJournal Article
Year of Publication2014
AuthorsPanin, VV, Krivoshey, FA, Bogdan, Yu.A
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
SectionHeat Physics
Date Published6/2014

The stochastic approximation of the parabolic equation of heat conduction and its subsequent averaging over realizations of random parameters leads to an equation of the hyperbolic type for the average values of transfer functions. On a basis of this equation, the statements of inverse problems concerning the restoration of boundary conditions are well-posed.

Keywordsheat transfer, stochastic regularization

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