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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He, Cheng (2002)
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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Huy, Nguyen Duc, Stará, Jana
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Eduard Feireisl (2001)
Commentationes Mathematicae Universitatis Carolinae
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We show compactness of bounded sets of weak solutions to the isentropic compressible Navier-Stokes equations in three space dimensions under the hypothesis that the adiabatic constant .
Antonín Novotný (1996)
Commentationes Mathematicae Universitatis Carolinae
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In [18]–[19], P.L. Lions studied (among others) the compactness and regularity of weak solutions to steady compressible Navier-Stokes equations in the isentropic regime with arbitrary large external data, in particular, in bounded domains. Here we investigate the same problem, combining his ideas with the method of decomposition proposed by Padula and myself in [29]. We find the compactness of the incompressible part of the velocity field and we give a new proof of the compactness...