Existence, uniqueness and construction of the solution of the energy transfer problem in a rigid and nonconvex black body

DOI10.1007/BF00945707zbMath0742.73005OpenAlexW2243462697MaRDI QIDQ1178982

Rogério Martins Saldanha da Gama

Publication date: 26 June 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945707

zbMATH Keywords

variational principleradiative heat transferFourier's lawStefan-Boltzmann lawlinear partial differential equationCauchy sequence of solutionsexistence and uniqueness of physical solutionnonlinear integro-differential operator

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Optimization of other properties in solid mechanics (74P10) Heat equation (35K05)

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Cites Work

• Temperature-dependent heat sources or sinks in a stagnation point flow
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