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

H. J. Choe, A. Novotný, M. Yang

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We prove existence of weak solutions to the compressible Navier-Stokes system in barotropic regime (adiabatic coefficient 𝛾 > 3/2, in three dimensions, 𝛾 > 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

Bibliographical note

Funding Information:
National Research Foundation of Korea, Grant/Award Numbers: 2015 R1A5A1009350, 2016R1C1B2015731 The work of H. J. Choe has been supported by the NRF grant 2015 R1A5A1009350. The work of A.N. has been supported by the NRF grant 2015 R1A5A1009350. The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731.

Publisher Copyright:
© 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Applied Mathematics

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