Compressible Navier–Stokes system with hard sphere pressure law and general inflow–outflow boundary conditions

H. J. Choe, A. Novotný, M. Yang

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1 Citation (Scopus)

Abstract

We prove the existence of a weak solution to the compressible Navier–Stokes system with hard sphere possibly non-monotone pressure law involving, in particular, the Carnahan–Starling model [2] largely employed in various physical and industrial applications. We take into account large velocities prescribed at the boundary of a bounded piecewise C2 domain and large densities prescribed at the inflow boundary without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain.

Original languageEnglish
Pages (from-to)3066-3099
Number of pages34
JournalJournal of Differential Equations
Volume266
Issue number6
DOIs
Publication statusPublished - 2019 Mar 5

Bibliographical note

Funding Information:
The work of H.J.Ch. has been supported by the NRF grant 2015R1A5A1009350.The work of A.N. has been supported by the NRF grant 2015R1A5A1009350.The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731.

Funding Information:
The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731.

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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