Quasi-neutral limit for a viscous capillary model of plasma

Didier Bresch; Benoît Desjardins; Bernard Ducomet

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Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid

Eduard Feireisl (2002)

Mathematica Bohemica

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This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.

Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid

Feireisl, Eduard

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Steady compressible Navier-Stokes-Fourier system in two space dimensions

Petra Pecharová, Milan Pokorný (2010)

Commentationes Mathematicae Universitatis Carolinae

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We study steady flow of a compressible heat conducting viscous fluid in a bounded two-dimensional domain, described by the Navier-Stokes-Fourier system. We assume that the pressure is given by the constitutive equation $p (ρ, θ) \sim ρ^{γ} + ρ θ$ , where $ρ$ is the density and $θ$ is the temperature. For $γ > 2$ , we prove existence of a weak solution to these equations without any assumption on the smallness of the data. The proof uses special approximation of the original problem, which guarantees the pointwise boundedness...

Remarks on the Navier-Stokes equations

Louis Nirenberg (1981)

Journées équations aux dérivées partielles

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