On the instantaneous spreading for the Navier–Stokes system in the whole space

Lorenzo Brandolese; Yves Meyer

Displaying similar documents to “On the instantaneous spreading for the Navier–Stokes system in the whole space”

Global regularity of the Navier-Stokes equation on thin three-dimensional domains with periodic boundary conditions.

Montgomery-Smith, Stephen (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Statistically stationary solutions to the 3-D Navier-Stokes equation do not show singularities.

Flandoli, Franco, Romito, Marco (2001)

Electronic Journal of Probability [electronic only]

Similarity:

Regularity of solutions to the Navier-Stokes equation.

Chae, Dongho, Choe, Hi-Jun (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

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

Alexis Vasseur (2009)

Applications of Mathematics

Similarity:

In this short note we give a link between the regularity of the solution $u$ to the 3D Navier-Stokes equation and the behavior of the direction of the velocity $u / | u |$ . It is shown that the control of $Div (u / | u |)$ in a suitable $L_{t}^{p} (L_{x}^{q})$ norm is enough to ensure global regularity. The result is reminiscent of the criterion in terms of the direction of the vorticity, introduced first by Constantin and Fefferman. However, in this case the condition is not on the vorticity but on the velocity itself. The proof, based...

$L^{p}$ -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle.

Geissert, Matthias, Hieber, Matthias (2007)

Acta Mathematica Universitatis Comenianae. New Series

Similarity:

Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems

V. V. Chepyzhov, M. I. Vishik (2002)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force $g (x, t)$ . We assume that $g (x, t)$ is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if $g (x, t)$ is a quasiperiodic function with respect to $t$ , then the attractor is a continuous image of a torus....

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

Similarity:

Conditions implying regularity of the three dimensional Navier-Stokes equation

Stephen Montgomery-Smith (2005)

Applications of Mathematics

Similarity:

We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam.