Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence
R. Farwig, H. Kozono, H. Sohr (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations”
Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence
Time-dependent coupling of Navier–Stokes and Darcy flows
Aycil Cesmelioglu, Vivette Girault, Béatrice Rivière (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.
Weak solutions to the Navier-Stokes equations in a Y-shaped domain
Joanna Rencławowicz, Wojciech M. Zajączkowski (2006)
Applicationes Mathematicae
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We prove the existence of weak solutions to the Navier-Stokes equations describing the motion of a fluid in a Y-shaped domain.
Remarks on the smoothness of the solutions of the 3-D Navier-Stokes equations.
Beirão da Veiga, H. (1997)
Portugaliae Mathematica
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On the regularity with respect to time of weak solutions of the Navier-Stokes equations
K. K. Golovkin, A. Krzywicki (1967)
Colloquium Mathematicae
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Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
Patrick Penel, Milan Pokorný (2004)
Applications of Mathematics
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We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
On the regularity for solutions of the micropolar fluid equations
Elva Ortega-Torres, Marko Rojas-Medar (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Remark on regularity of weak solutions to the Navier-Stokes equations.
Skalák, Zdeněk, Kučera, Petr (2001)
Commentationes Mathematicae Universitatis Carolinae
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Remark on regularity of weak solutions to the Navier-Stokes equations
Zdeněk Skalák, Petr Kučera (2001)
Commentationes Mathematicae Universitatis Carolinae
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Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space are regular.