Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum
This article is devoted to the study of the nonhomogeneous incompressible Navier-Stokes equations in space dimension three. By making use of the "weakly nonlinear" energy estimate approach introduced by Lei and Zhou in [16], we establish two logarithmically improved blow-up criteria of...
| Main Authors: | , , |
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| פורמט: | Article |
| שפה: | English |
| יצא לאור: |
Texas State University
2016-07-01
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| סדרה: | Electronic Journal of Differential Equations |
| נושאים: | |
| גישה מקוונת: | http://ejde.math.txstate.edu/Volumes/2016/192/abstr.html |
| _version_ | 1828812190776295424 |
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| author | Qianqian Hou Xiaojing Xu Zhuan Ye |
| author_facet | Qianqian Hou Xiaojing Xu Zhuan Ye |
| author_sort | Qianqian Hou |
| collection | DOAJ |
| description | This article is devoted to the study of the nonhomogeneous incompressible
Navier-Stokes equations in space dimension three. By making use of the
"weakly nonlinear" energy estimate approach introduced by Lei and Zhou
in [16], we establish two logarithmically improved blow-up criteria
of the strong or smooth solutions subject to vacuum for the 3D
nonhomogeneous incompressible Navier-Stokes equations in the whole
space R^3. This results extend recent regularity
criterion obtained by Kim (2006) [13]. |
| first_indexed | 2024-12-12T09:39:49Z |
| format | Article |
| id | doaj.art-dab6e76f9d7a47089c0d9b5ea7f2d983 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T09:39:49Z |
| publishDate | 2016-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-dab6e76f9d7a47089c0d9b5ea7f2d9832022-12-22T00:28:37ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-07-012016192,112Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuumQianqian Hou0Xiaojing Xu1Zhuan Ye2 Hong Kong Polytechnic Univ., Kowloon, Hong Kong Beijing Normal Univ., Beijing, China Jiangsu Normal Univ., Xuzhou, Jiangsu, China This article is devoted to the study of the nonhomogeneous incompressible Navier-Stokes equations in space dimension three. By making use of the "weakly nonlinear" energy estimate approach introduced by Lei and Zhou in [16], we establish two logarithmically improved blow-up criteria of the strong or smooth solutions subject to vacuum for the 3D nonhomogeneous incompressible Navier-Stokes equations in the whole space R^3. This results extend recent regularity criterion obtained by Kim (2006) [13].http://ejde.math.txstate.edu/Volumes/2016/192/abstr.htmlNonhomogeneous Navier-Stokes equationsblow-up criterionstrong solutionvacuum |
| spellingShingle | Qianqian Hou Xiaojing Xu Zhuan Ye Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum Electronic Journal of Differential Equations Nonhomogeneous Navier-Stokes equations blow-up criterion strong solution vacuum |
| title | Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum |
| title_full | Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum |
| title_fullStr | Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum |
| title_full_unstemmed | Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum |
| title_short | Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum |
| title_sort | logarithmically improved blow up criteria for the 3d nonhomogeneous incompressible navier stokes equations with vacuum |
| topic | Nonhomogeneous Navier-Stokes equations blow-up criterion strong solution vacuum |
| url | http://ejde.math.txstate.edu/Volumes/2016/192/abstr.html |
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