Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations
This paper is concerned with the initial boundary value problem for the three-dimensional Navier-Stokes equations with density-dependent viscosity. The cylindrically symmetric strong solution is shown to exist globally in time and tend to the equilibrium state exponentially as time grows up.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/728715 |
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| _version_ | 1832556211795394560 |
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| author | Jian Liu Ruxu Lian |
| author_facet | Jian Liu Ruxu Lian |
| author_sort | Jian Liu |
| collection | DOAJ |
| description | This paper is concerned with the initial boundary value problem for the three-dimensional Navier-Stokes equations with density-dependent viscosity. The cylindrically symmetric strong solution is shown to exist globally in time and tend to the equilibrium state exponentially as time grows up. |
| format | Article |
| id | doaj-art-ae340364d9874c63bee4545e1b8eee41 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ae340364d9874c63bee4545e1b8eee412025-02-03T05:46:03ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/728715728715Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes EquationsJian Liu0Ruxu Lian1College of Teacher Education, Quzhou University, Quzhou 324000, ChinaCollege of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaThis paper is concerned with the initial boundary value problem for the three-dimensional Navier-Stokes equations with density-dependent viscosity. The cylindrically symmetric strong solution is shown to exist globally in time and tend to the equilibrium state exponentially as time grows up.http://dx.doi.org/10.1155/2014/728715 |
| spellingShingle | Jian Liu Ruxu Lian Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations Abstract and Applied Analysis |
| title | Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations |
| title_full | Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations |
| title_fullStr | Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations |
| title_full_unstemmed | Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations |
| title_short | Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations |
| title_sort | global existence of the cylindrically symmetric strong solution to compressible navier stokes equations |
| url | http://dx.doi.org/10.1155/2014/728715 |
| work_keys_str_mv | AT jianliu globalexistenceofthecylindricallysymmetricstrongsolutiontocompressiblenavierstokesequations AT ruxulian globalexistenceofthecylindricallysymmetricstrongsolutiontocompressiblenavierstokesequations |