Some New Regularity Criteria for the Navier-Stokes Equations Containing Gradient of the Velocity

By Patrick Penel, Milan Pokorný. 2004

126 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a57b2555aa7cf9e13e50b520111b2357387104cf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Alexis Vasseur
2. C. Chan
3. Juan Luis V'azquez
4. Luis Silvestre
5. Vlad Vicol
6. Luis Caffarelli
7. C. Imbert
8. Matteo Cozzi

In Control and Systems Engineering

1. C. Chan
2. Alexis Vasseur

In Mathematical Physics

1. Alexis Vasseur
2. C. Chan
3. Juan Luis V'azquez
4. Matteo Cozzi
5. Dongho Chae
6. Tsuyoshi Yoneda
7. C. Imbert
8. Zhifei Zhang

Citations in the corpus

• Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes Equations (2007, background): “Let us also cite a condition involving the lower bound of the pressure introduced by Seregin and Sverak in [15], and conditions involving only one of the component of u (see Penel and Pokorny [13], He [5], and Zhou [19]).”
• Regularity criterion for 3d navier-stokes equations in terms of the direction of the velocity (2007, background): “It was already known that if one component of the velocity is bounded in a suitable space, then the solution is smooth (see Penel and Pokorny [11], He [6], Zhou [14], Chae and Choe [3]).”