Existence results for viscous polytropic fluids with vacuum

Yonggeun Cho; Hyunseok Kim

doi:10.1016/j.jde.2006.05.001

Existence results for viscous polytropic fluids with vacuum

Yonggeun Cho^*
, Hyunseok Kim

^*Corresponding author for this work

Department of Mathematics

Hokkaido University
Korea Institute for Advanced Study

Research output: Contribution to journal › Journal article › peer-review

219 Scopus citations

Abstract

We consider the full Navier-Stokes equations for viscous polytropic fluids with nonnegative thermal conductivity. We prove the existence of unique local strong solutions for all initial data satisfying some compatibility condition. The initial density need not be positive and may vanish in an open set. Moreover our results hold for both bounded and unbounded domains.

Original language	English
Pages (from-to)	377-411
Number of pages	35
Journal	Journal of Differential Equations
Volume	228
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2006.05.001
State	Published - 2006.09.15

Keywords

Compressible Navier-Stokes equations
Vacuum
Viscous polytropic fluids

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10.1016/j.jde.2006.05.001

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title = "Existence results for viscous polytropic fluids with vacuum",

abstract = "We consider the full Navier-Stokes equations for viscous polytropic fluids with nonnegative thermal conductivity. We prove the existence of unique local strong solutions for all initial data satisfying some compatibility condition. The initial density need not be positive and may vanish in an open set. Moreover our results hold for both bounded and unbounded domains.",

keywords = "Compressible Navier-Stokes equations, Vacuum, Viscous polytropic fluids",

author = "Yonggeun Cho and Hyunseok Kim",

year = "2006",

month = sep,

day = "15",

doi = "10.1016/j.jde.2006.05.001",

language = "English",

volume = "228",

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journal = "Journal of Differential Equations",

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TY - JOUR

T1 - Existence results for viscous polytropic fluids with vacuum

AU - Cho, Yonggeun

AU - Kim, Hyunseok

PY - 2006/9/15

Y1 - 2006/9/15

N2 - We consider the full Navier-Stokes equations for viscous polytropic fluids with nonnegative thermal conductivity. We prove the existence of unique local strong solutions for all initial data satisfying some compatibility condition. The initial density need not be positive and may vanish in an open set. Moreover our results hold for both bounded and unbounded domains.

AB - We consider the full Navier-Stokes equations for viscous polytropic fluids with nonnegative thermal conductivity. We prove the existence of unique local strong solutions for all initial data satisfying some compatibility condition. The initial density need not be positive and may vanish in an open set. Moreover our results hold for both bounded and unbounded domains.

KW - Compressible Navier-Stokes equations

KW - Vacuum

KW - Viscous polytropic fluids

UR - https://www.scopus.com/pages/publications/33746689216

U2 - 10.1016/j.jde.2006.05.001

DO - 10.1016/j.jde.2006.05.001

M3 - Journal article

AN - SCOPUS:33746689216

SN - 0022-0396

VL - 228

SP - 377

EP - 411

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Existence results for viscous polytropic fluids with vacuum

Abstract

Keywords

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