Nonstationary radiative–conductive heat transfer problem in an absolutely black body with semitransparent inclusions
DOI10.1002/mma.8753zbMath1530.35005OpenAlexW4308160910MaRDI QIDQ6182976
Publication date: 22 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8753
comparison theoremunique solvabilityradiative transfer equationradiative-conductive heat transfer problemnonlinear initial-boundary value problemsemitransparent materialabsolutely black body
Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Semilinear parabolic equations (35K58) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)
Cites Work
- Unnamed Item
- Nonstationary nonlinear nonlocal problem of radiative-conductive heat transfer in a system of opaque bodies with properties depending on the radiation frequency
- Radiative transfer equation with Fresnel reflection and refraction conditions in a system of bodies with piecewise smooth boundaries
- Unique solvability of a nonstationary problem of radiative-conductive heat exchange in a system of semitransparent bodies
- Nonstationary problem of complex heat transfer in a system of semitransparent bodies with boundary-value conditions of diffuse reflection and refraction of radiation
- Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions
- Unique solvability of the stationary complex heat transfer problem in a system of grey bodies with semitransparent inclusions
- Global solvability of a nonlinear nonstationary problem with a nonlocal boundary condition of radiative heat transfer type
- Radiative transfer equation with diffuse reflection and refraction conditions in a system of bodies with piecewise smooth boundaries
- On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
- Unique solvability of a stationary radiative‐conductive heat transfer problem in a system consisting of an absolutely black body and several semitransparent bodies
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