Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equation with special slip boundary condition
In this article we consider the three-dimensional nonhomogeneous incompressible Navier-Stokes equation with special slip boundary conditions in a bounded domain. We discuss the problem of the vanishing viscosity limit and provide a rate of convergence estimates for the strong solution.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/169/abstr.html |
| _version_ | 1818504699096072192 |
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| author | Pengfei Chen Yuelong Xiao Hui Zhang |
| author_facet | Pengfei Chen Yuelong Xiao Hui Zhang |
| author_sort | Pengfei Chen |
| collection | DOAJ |
| description | In this article we consider the three-dimensional nonhomogeneous
incompressible Navier-Stokes equation with special slip boundary conditions
in a bounded domain. We discuss the problem of the vanishing viscosity limit
and provide a rate of convergence estimates for the strong solution. |
| first_indexed | 2024-12-10T21:40:38Z |
| format | Article |
| id | doaj.art-37cb3620b50f4aba8dcf5bf67410427b |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T21:40:38Z |
| publishDate | 2017-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-37cb3620b50f4aba8dcf5bf67410427b2022-12-22T01:32:30ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-07-012017169,113Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equation with special slip boundary conditionPengfei Chen0Yuelong Xiao1Hui Zhang2 Xiangtan Univ., Hunan, China Xiangtan Univ., Hunan, China Anqing Normal Univ., AnHui, China In this article we consider the three-dimensional nonhomogeneous incompressible Navier-Stokes equation with special slip boundary conditions in a bounded domain. We discuss the problem of the vanishing viscosity limit and provide a rate of convergence estimates for the strong solution.http://ejde.math.txstate.edu/Volumes/2017/169/abstr.htmlNavier-Stokes equationslip boundary conditionsvanishing viscosity limit |
| spellingShingle | Pengfei Chen Yuelong Xiao Hui Zhang Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equation with special slip boundary condition Electronic Journal of Differential Equations Navier-Stokes equation slip boundary conditions vanishing viscosity limit |
| title | Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equation with special slip boundary condition |
| title_full | Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equation with special slip boundary condition |
| title_fullStr | Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equation with special slip boundary condition |
| title_full_unstemmed | Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equation with special slip boundary condition |
| title_short | Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equation with special slip boundary condition |
| title_sort | vanishing viscosity limit for the 3d nonhomogeneous incompressible navier stokes equation with special slip boundary condition |
| topic | Navier-Stokes equation slip boundary conditions vanishing viscosity limit |
| url | http://ejde.math.txstate.edu/Volumes/2017/169/abstr.html |
| work_keys_str_mv | AT pengfeichen vanishingviscositylimitforthe3dnonhomogeneousincompressiblenavierstokesequationwithspecialslipboundarycondition AT yuelongxiao vanishingviscositylimitforthe3dnonhomogeneousincompressiblenavierstokesequationwithspecialslipboundarycondition AT huizhang vanishingviscositylimitforthe3dnonhomogeneousincompressiblenavierstokesequationwithspecialslipboundarycondition |