Conditions for the local regularity of weak solutions of the Navier-Stokes equations near the boundary.
Kucera, Petr, Skalak, Zdenek (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kucera, Petr, Skalak, Zdenek (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Skalak, Zdenek (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fan, Jishan, Gao, Hongjun (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yue, Hu, Li, Wu-Ming (2011)
The Journal of Nonlinear Sciences and its Applications
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Skalák, Zdeněk (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Luo, Yuwen (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Isabelle Gallagher, Dragoş Iftimie, Fabrice Planchon (2002)
Journées équations aux dérivées partielles
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We study a priori global strong solutions of the incompressible Navier-Stokes equations in three space dimensions. We prove that they behave for large times like small solutions, and in particular they decay to zero as time goes to infinity. Using that result, we prove a stability theorem showing that the set of initial data generating global solutions is open.
Odasso, Cyril (2006)
Electronic Journal of Probability [electronic only]
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Gabriel S. Koch (2010)
Journées Équations aux dérivées partielles
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In this expository note, we collect some recent results concerning the applications of methods from dispersive and hyperbolic equations to the study of regularity criteria for the Navier-Stokes equations. In particular, these methods have recently been used to give an alternative approach to the Navier-Stokes regularity criterion of Escauriaza, Seregin and Šverák. The key tools are profile decompositions for bounded sequences of functions in critical spaces.