Compressible Navier-Stokes system with general inflow-outflow boundary data on piecewise regular domains

H. J. Choe, A. Novotný, Minsuk Yang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We prove existence of weak solutions to the compressible Navier-Stokes system in barotropic regime (adiabatic coefficient 훾 > 3/2, in three dimensions, 훾 > 1 in two dimensions) with large velocity prescribed at the boundary and large density prescribed at the inflow boundary of a bounded Lipschitz piecewise regular domain, without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain. The result applies also to pressure laws that are non-monotone on a compact portion of the interval [0, ∞).

Original languageEnglish
Pages (from-to)1447-1471
Number of pages25
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume98
Issue number8
DOIs
Publication statusPublished - 2018 Aug 1

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Navier-Stokes System
Existence of Weak Solutions
Lipschitz
Three-dimension
Two Dimensions
Restriction
Interval
Coefficient

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Applied Mathematics

Cite this

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abstract = "We prove existence of weak solutions to the compressible Navier-Stokes system in barotropic regime (adiabatic coefficient 훾 > 3/2, in three dimensions, 훾 > 1 in two dimensions) with large velocity prescribed at the boundary and large density prescribed at the inflow boundary of a bounded Lipschitz piecewise regular domain, without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain. The result applies also to pressure laws that are non-monotone on a compact portion of the interval [0, ∞).",
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Compressible Navier-Stokes system with general inflow-outflow boundary data on piecewise regular domains. / Choe, H. J.; Novotný, A.; Yang, Minsuk.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 98, No. 8, 01.08.2018, p. 1447-1471.

Research output: Contribution to journalArticle

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