On the blow up criterion for the 2-D compressible Navier-Stokes equations

Lingyu Jiang; Yidong Wang

Displaying similar documents to “On the blow up criterion for the 2-D compressible Navier-Stokes equations”

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

Stefano Bosia, Monica Conti, Vittorino Pata (2014)

Open Mathematics

Similarity:

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

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.

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...

Regularity of solutions to the Navier-Stokes equation.

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

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

Similarity: