Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity

Alexis Vasseur

Displaying similar documents to “Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity”

Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in $ℝ^{n}$

Reinhard Farwig, Hermann Sohr (2009)

Czechoslovak Mathematical Journal

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For a bounded domain $Ω \subset ℝ^{n}$ , $n \geq 3,$ we use the notion of very weak solutions to obtain a new and large uniqueness class for solutions of the inhomogeneous Navier-Stokes system $- Δ u + u \cdot \nabla u + \nabla p = f$ , $div u = k$ , $u_{|_{\partial Ω}} = g$ with $u \in L^{q}$ , $q \geq n$ , and very general data classes for $f$ , $k$ , $g$ such that $u$ may have no differentiability property. For smooth data we get a large class of unique and regular solutions extending well known classical solution classes, and generalizing regularity results. Moreover, our results are closely related to those of...

Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system

Nana Pan, Jishan Fan, Yong Zhou (2021)

Applications of Mathematics

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We prove a regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system with the Coulomb gauge in $ℝ^{3}$ . It is proved that if the velocity field in the Besov space satisfies some integral property, then the solution keeps its smoothness.

A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient

Stefano Bosia, Monica Conti, Vittorino Pata (2014)

Open Mathematics

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The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.

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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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.

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.

Displaying similar documents to “Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity”

Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in ℝ n

Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system

A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient

On the regularity for solutions of the micropolar fluid equations

Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity

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

Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in $ℝ^{n}$