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

Hi Jun Choe, A. Novotný, Minsuk Yang

Research output: Contribution to journalArticle

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

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General Boundary Conditions
Navier-Stokes System
Hard Spheres
Industrial applications
Boundary conditions
Industrial Application
Weak Solution
Restriction
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Compressible Navier–Stokes system with hard sphere pressure law and general inflow–outflow boundary conditions. / Choe, Hi Jun; Novotný, A.; Yang, Minsuk.

In: Journal of Differential Equations, Vol. 266, No. 6, 05.03.2019, p. 3066-3099.

Research output: Contribution to journalArticle

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