Existence of strong solutions with critical regularity to a polytropic model for radiating flows

DOI10.1007/s10231-016-0566-7zbMath1369.35055OpenAlexW2303778760MaRDI QIDQ509566

Raphaël Danchin, Bernard Ducomet

Publication date: 17 February 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0566-7

zbMATH Keywords

Navier-Stokes systemcritical spacesradiation hydrodynamics\(P1\)-approximationpolytropicunder-relativistic

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

Global existence results and asymptotic limits for a model of radiative fluid ⋮ Global existence of smooth solutions for the compressible viscous fluid flow with radiation in \(\mathbb{R}^3\). ⋮ Large time behavior of solutions to a diffusion approximation radiation hydrodynamics model ⋮ Partially dissipative systems in the critical regularity setting, and strong relaxation limit ⋮ Global Well-Posedness and Decay Rates of Strong Solutions to a $P1$-Approximation Model Arising in Radiation Hydrodynamics

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