Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity
Abstract This paper is concerned with the dynamics for the compressible Navier–Stokes equations with density-dependent viscosity in bounded annular domains in R3 $R^{3}$. In the paper, we shall analyze the spherical symmetric model and establish the regularity in H2 $H^{2}$ and H4 $H^{4}$ under cert...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1007-x |
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doaj-4f322499ad534dbba4b0ecca501819402020-11-24T20:53:36ZengSpringerOpenBoundary Value Problems1687-27702018-05-012018111310.1186/s13661-018-1007-xRegularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosityLan Huang0Ruxu Lian1College of Mathematics and Statistics, North China University of Water Resources and Electric PowerCollege of Mathematics and Statistics, North China University of Water Resources and Electric PowerAbstract This paper is concerned with the dynamics for the compressible Navier–Stokes equations with density-dependent viscosity in bounded annular domains in R3 $R^{3}$. In the paper, we shall analyze the spherical symmetric model and establish the regularity in H2 $H^{2}$ and H4 $H^{4}$ under certain assumptions imposed on the initial data.http://link.springer.com/article/10.1186/s13661-018-1007-xNavier–Stokes equationsDensity-dependent viscosityRegularitySpherical symmetry |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lan Huang Ruxu Lian |
| spellingShingle |
Lan Huang Ruxu Lian Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity Boundary Value Problems Navier–Stokes equations Density-dependent viscosity Regularity Spherical symmetry |
| author_facet |
Lan Huang Ruxu Lian |
| author_sort |
Lan Huang |
| title |
Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity |
| title_short |
Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity |
| title_full |
Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity |
| title_fullStr |
Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity |
| title_full_unstemmed |
Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity |
| title_sort |
regularity to the spherically symmetric compressible navier–stokes equations with density-dependent viscosity |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2770 |
| publishDate |
2018-05-01 |
| description |
Abstract This paper is concerned with the dynamics for the compressible Navier–Stokes equations with density-dependent viscosity in bounded annular domains in R3 $R^{3}$. In the paper, we shall analyze the spherical symmetric model and establish the regularity in H2 $H^{2}$ and H4 $H^{4}$ under certain assumptions imposed on the initial data. |
| topic |
Navier–Stokes equations Density-dependent viscosity Regularity Spherical symmetry |
| url |
http://link.springer.com/article/10.1186/s13661-018-1007-x |
| work_keys_str_mv |
AT lanhuang regularitytothesphericallysymmetriccompressiblenavierstokesequationswithdensitydependentviscosity AT ruxulian regularitytothesphericallysymmetriccompressiblenavierstokesequationswithdensitydependentviscosity |
| _version_ |
1716796844864962560 |