On the regularity for solutions of the micropolar fluid equations

Elva Ortega-Torres; Marko Rojas-Medar

Displaying similar documents to “On the regularity for solutions of the micropolar fluid equations”

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.

Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component

Jiří Neustupa, Milan Pokorný (2001)

Mathematica Bohemica

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We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.

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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Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.

Fan, Jishan, Ozawa, Tohru (2008)

Journal of Inequalities and Applications [electronic only]

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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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Lagrangian approximations and weak solutions of the Navier-Stokes equations

Werner Varnhorn (2008)

Banach Center Publications

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The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundary can be described by the nonlinear Navier-Stokes equations. This description corresponds to the so-called Eulerian approach. We develop a new approximation method for the Navier-Stokes equations in both the stationary and the non-stationary case by a suitable coupling of the Eulerian and the Lagrangian representation of the flow, where the latter is defined by the trajectories of the particles...

A short note on regularity criteria for the Navier-Stokes equations containing the velocity gradient

Milan Pokorný (2005)

Banach Center Publications

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We review several regularity criteria for the Navier-Stokes equations and prove some new ones, containing different components of the velocity gradient.

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.

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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Regularity properties of the attractor to the Navier-Stokes equations

Piotr Kacprzyk (2010)

Applicationes Mathematicae

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Existence of a global attractor for the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has been shown already. In this paper we prove the higher regularity of the attractor.