Time-dependent coupling of Navier–Stokes and Darcy flows

Aycil Cesmelioglu; Vivette Girault; Béatrice Rivière

Displaying similar documents to “Time-dependent coupling of Navier–Stokes and Darcy flows”

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.

A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations

Francis Ribaud (2002)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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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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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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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 $L^{2} (0, T, W^{1, 3} {(𝛺)}^{3})$ are regular.

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.

Remarks on the smoothness of the $L^{\infty} (0, T; L^{3})$ solutions of the 3-D Navier-Stokes equations.

Beirão da Veiga, H. (1997)

Portugaliae Mathematica

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The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity

Jiří Neustupa, Patrick Penel (2008)

Banach Center Publications

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We formulate a boundary value problem for the Navier-Stokes equations with prescribed u·n, curl u·n and alternatively (∂u/∂n)·n or curl²u·n on the boundary. We deal with the question of existence of a steady weak solution.