On the maximum modulus theorem for the Stokes system
Paolo Maremonti, Remigio Russo (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Regularity of the solutions of elliptic systems in polyhedral domains.”
On the maximum modulus theorem for the Stokes system
Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions
F. Guillén-González, M. A. Rodríguez-Bellido, M. A. Rojas-Medar (2004)
Annales de l'I.H.P. Analyse non linéaire
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Examples of discontinuous, divergence-free solutions to elliptic variational problems
Wenge Hao, Salvatore Leonardi, Mark Steinhauer (1995)
Commentationes Mathematicae Universitatis Carolinae
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We give an example of a bounded discontinuous divergence-free solution of a linear elliptic system with measurable bounded coefficients in and a corresponding example for a .
Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions
W. M. Zajączkowski
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We examine the nonstationary Stokes system in a bounded domain with the boundary slip conditions. We assume that there exists a line which crosses the domain and that the data belong to Sobolev spaces with weights equal to some powers of the distance to the line. Then the existence of solutions in Sobolev spaces with the corresponding weights is proved.
Boundary partial regularity for the Navier-Stokes equations.
Seregin, G.A., Shilkin, T.N., Solonnikov, V.N. (2004)
Journal of Mathematical Sciences (New York)
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The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure
Jiří Neustupa (2003)
Applications of Mathematics
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We assume that is a weak solution to the non-steady Navier-Stokes initial-boundary value problem that satisfies the strong energy inequality in its domain and the Prodi-Serrin integrability condition in the neighborhood of the boundary. We show the consequences for the regularity of near the boundary and the connection with the interior regularity of an associated pressure and the time derivative of .