Weak solutions to a stationary heat equation with nonlocal radiation boundary condition and right‐hand side in Lp (p⩾1)

DOI10.1002/mma.1029zbMath1151.35319OpenAlexW2016274820MaRDI QIDQ5502705

Pierre-Étienne Druet

Publication date: 8 January 2009

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1029

zbMATH Keywords

existence of generalized solutionsnonlocal boundary conditionradiative heat transfernonlinear PDE of elliptic typeright-hand side \(L^{1}\)

Mathematics Subject Classification ID

Related Items (11)

Nonstationary problem of complex heat transfer in a system of semitransparent bodies with boundary-value conditions of diffuse reflection and refraction of radiation ⋮ Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals ⋮ Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary \(p\)-summable right-hand side. ⋮ Convergence of a FEM and two-grid algorithms for elliptic problems on disjoint domains ⋮ A thermo-electrical problem with a nonlocal radiation boundary condition ⋮ Stationary nonlinear nonlocal problem of radiative-conductive heat transfer in a system of opaque bodies with properties depending on the radiation frequency ⋮ Existence for the stationary MHD-equations coupled to heat transfer with nonlocal radiation effects ⋮ Optimal control of semiconductor melts by traveling magnetic fields ⋮ Existence of weak solutions to the time-dependent MHD equations coupled to the heat equation with nonlocal radiation boundary conditions ⋮ Transient thermal response with nonlocal radiation of a blast furnace main trough ⋮ Explicit estimates for solutions of nonlinear radiation-type problems

Cites Work

• Quasilinear elliptic problems with measures as data
• Modeling and simulation of sublimation growth of SiC bulk single crystals
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Conductive-radiative heat transfer in grey materials
• TRANSIENT CONDUCTIVE–RADIATIVE HEAT TRANSFER: DISCRETE EXISTENCE AND UNIQUENESS FOR A FINITE VOLUME SCHEME
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