On the domain dependence of solutions to the compressible Navier-Stokes equations of an isothermal fluid

DOI10.1007/s10440-012-9775-2zbMath1282.35304OpenAlexW2068860746MaRDI QIDQ1947022

Nikola Hlaváčová

Publication date: 11 April 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9775-2

zbMATH Keywords

Navier-Stokes equationsOrlicz spacesnonlinear stress tensorSobolev-Orlicz capacityviscous compressible isothermal fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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• A direct approach to Orlicz-Sobolev capacity
• Compact sets in the space \(L^ p(0,T;B)\)
• Behaviour of weak solutions of compressible Navier-Stokes equations for isothermal fluids with a nonlinear stress tensor
• Global solvability of the multidimensional Navier-Stokes equations of a compressible fluid with nonlinear viscosity. ~\text{I}
• On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid
• Existence of global solutions of multidimensional Burgers's equations of a compressible viscous fluid

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