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2018 Steady solutions to the Navier-Stokes-Fourier system for dense compressible fluid
Šimon Axmann, Piotr B. Mucha, Milan Pokorný Nečasová
Topol. Methods Nonlinear Anal. 52(1): 259-283 (2018). DOI: 10.12775/TMNA.2018.023

Abstract

We establish existence of strong solutions to the stationary Navier-Stokes-Fourier system for compressible flows with density dependent viscosities in regime of heat conducting fluids with very high densities. In comparison to the known results considering the low Mach number case, we work in the $L^p$-setting combining the methods for the weak solutions with the method of decomposition. Moreover, the magnitude of gradient of the density as well as other data are not limited, our only assumption is the given total mass must be sufficiently large.

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Šimon Axmann. Piotr B. Mucha. Milan Pokorný Nečasová. "Steady solutions to the Navier-Stokes-Fourier system for dense compressible fluid." Topol. Methods Nonlinear Anal. 52 (1) 259 - 283, 2018. https://doi.org/10.12775/TMNA.2018.023

Information

Published: 2018
First available in Project Euclid: 9 August 2018

zbMATH: 07029870
MathSciNet: MR3867988
Digital Object Identifier: 10.12775/TMNA.2018.023

Rights: Copyright © 2018 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.52 • No. 1 • 2018
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