Local well‐posedness of compressible radiation hydrodynamic equations with density‐dependent viscosities and vacuum

DOI10.1002/mma.7064zbMath1469.35177OpenAlexW3107053472MaRDI QIDQ5004220

Hao Li, Ya-Chun Li

Publication date: 30 July 2021

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

Full work available at URL: https://doi.org/10.1002/mma.7064

zbMATH Keywords

vacuumregular solutionsradiation hydrodynamicsdegenerate viscosityNavier-Stokes-Boltzmann equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20) Classical solutions to PDEs (35A09) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15) Radiative heat transfer (80A21)

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