Maltese, D;
Michálek, M;
Mucha, PB;
Novotný, A;
Pokorný, M;
Zatorska, E;
(2016)
Existence of weak solutions for compressible Navier–Stokes equations with entropy transport.
Journal of Differential Equations
, 261
(8)
pp. 4448-4485.
10.1016/j.jde.2016.06.029.
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Abstract
We consider the compressible Navier–Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential temperature which, unlike in the Navier–Stokes–Fourier system, satisfies only the transport equation. We provide existence results within three alternative weak formulations of the corresponding classical problem. Our constructions hold for the optimal range of the adiabatic coefficients from the point of view of the nowadays existence theory.
| Type: | Article |
|---|---|
| Title: | Existence of weak solutions for compressible Navier–Stokes equations with entropy transport |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jde.2016.06.029 |
| Publisher version: | http://dx.doi.org/10.1016/j.jde.2016.06.029 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10035965 |
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