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...
| Κύριοι συγγραφείς: | , , |
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| Μορφή: | Άρθρο |
| Γλώσσα: | English |
| Έκδοση: |
Texas State University
2016-07-01
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| Σειρά: | Electronic Journal of Differential Equations |
| Θέματα: | |
| Διαθέσιμο Online: | http://ejde.math.txstate.edu/Volumes/2016/192/abstr.html |
| Περίληψη: | 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]. |
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| ISSN: | 1072-6691 |