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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Displaying similar documents to “A new regularity criterion for the Navier-Stokes equations.”
Conditions for the local regularity of weak solutions of the Navier-Stokes equations near the boundary.
On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable
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 .
Regularity for solutions to the Navier-Stokes equations with one velocity component regular.
He, Cheng (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary.
Skalak, Zdenek (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method
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...
Stabilité et asymptotique en temps grand de solutions globales des équations de Navier-Stokes
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.