Stokes and Navier–Stokes equations with nonhomogeneous boundary conditions
J.-P. Raymond (2007)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions”
Stokes and Navier–Stokes equations with nonhomogeneous boundary conditions
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In this paper we establish interior regularity for weak solutions and partial regularity for suitable weak solutions of the perturbed Navier-Stokes system, which can be regarded as generalizations of the results in L. Caffarelli, R. Kohn, L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations, Commun. Pure. Appl. Math. 35 (1982), 771–831, and S. Takahashi, On interior regularity criteria for weak solutions of the Navier-Stokes equations, Manuscr....