Compressible Navier–Stokes system with the hard sphere pressure law in an exterior domain

We consider the motion of compressible Navier–Stokes fluids with the hard sphere pressure law around a rigid obstacle when the velocity and the density at infinity are nonzero. This kind of pressure model is largely employed in various physical and industrial applications. We prove the existence of...

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2022-10, Vol.73 (5), Article 197
Hauptverfasser: Nečasová, Šárka, Novotný, Antonin, Roy, Arnab
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the motion of compressible Navier–Stokes fluids with the hard sphere pressure law around a rigid obstacle when the velocity and the density at infinity are nonzero. This kind of pressure model is largely employed in various physical and industrial applications. We prove the existence of weak solution to the system in the exterior domain.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-022-01809-6