Existence Theory for Radiative Flows

DOI10.1080/00411450802525956zbMath1156.80371OpenAlexW2027967438MaRDI QIDQ3612755

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Publication date: 10 March 2009

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450802525956

zbMATH Keywords

upper and lower solutionsfluid flowsconductive-radiative heat transferparabolic integro-differential evolution equations

Mathematics Subject Classification ID

Related Items (4)

Existence theory for one-dimensional quasilinear coupled conductive-radiative flows ⋮ Green Function Formulation and Finite Element Discretization for Solving the Heat Radiative Transfer in a Slab ⋮ Advances in the theory of existence and numerical simulations for the one-dimensional transport equation ⋮ Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• On an averaging result for transport equations
• A nonlinear problem of evolution arising from radiation transfer theory
• Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations
• Existence Theory for the Solution of a Stationary Nonlinear Conductive‐Radiative Heat‐Transfer Problem in Three Space Dimensions
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