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

H. J. Choe; A. Novotný; M. Yang

doi:10.1002/zamm.201800016

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

H. J. Choe, A. Novotný, M. Yang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 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 language	English
Pages (from-to)	1447-1471
Number of pages	25
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	98
Issue number	8
DOIs	https://doi.org/10.1002/zamm.201800016
Publication status	Published - 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

Access to Document

10.1002/zamm.201800016

Cite this

@article{c038c4a96ef84e3da78d189df33c7c98,

title = "Compressible Navier-Stokes system with general inflow-outflow boundary data on piecewise regular domains",

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, ∞).",

author = "Choe, {H. J.} and A. Novotn{\'y} and M. Yang",

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: {\textcopyright} 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim",

year = "2018",

month = aug,

doi = "10.1002/zamm.201800016",

language = "English",

volume = "98",

pages = "1447--1471",

journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",

issn = "0044-2267",

publisher = "Wiley-VCH Verlag",

number = "8",

}

TY - JOUR

T1 - Compressible Navier-Stokes system with general inflow-outflow boundary data on piecewise regular domains

AU - Choe, H. J.

AU - Novotný, A.

AU - Yang, M.

N1 - 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

PY - 2018/8

Y1 - 2018/8

N2 - 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, ∞).

AB - 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, ∞).

UR - http://www.scopus.com/inward/record.url?scp=85046545237&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85046545237&partnerID=8YFLogxK

U2 - 10.1002/zamm.201800016

DO - 10.1002/zamm.201800016

M3 - Article

AN - SCOPUS:85046545237

SN - 0044-2267

VL - 98

SP - 1447

EP - 1471

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

IS - 8

ER -

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this