WEAK SOLUTIONS TO EQUATIONS OF STEADY COMPRESSIBLE HEAT CONDUCTING FLUIDS

DOI10.1142/S0218202510004441zbMath1191.35207MaRDI QIDQ3573107

Piotr Bogusław Mucha, Milan Pokorný

Publication date: 30 June 2010

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

zbMATH Keywords

weak solutionsDirichlet boundary conditionsslip boundary conditionslarge datasteady compressible Navier-Stokes-Fourier equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

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• On the steady compressible Navier-Stokes-Fourier system
• A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid.
• The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
• On the existence of weak solutions to the steady compressible Navier-Stokes equations when the density is not square integrable.
• On a new approach to the issue of existence and regularity for the steady compressible Navier–Stokes equations
• Singular limits in thermodynamics of viscous fluids
• On the existence of globally defined weak solutions to the Navier-Stokes equations

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