Conditions Implying Regularity of the Three Dimensional Navier-Stokes Equation

By Stephen Montgomery-Smith. 2003

46 citations recorded by the source corpus.

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 Foias, Guillope and Temam.

Subfields: Applied Mathematics, Finance, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8390f2dff6753d14bec5d51e5e11760a49071002

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In Applied Mathematics

1. Sadek Gala
2. Alexis Vasseur
3. C. Chan
4. M. Alessandra Ragusa
5. Juan Luis V'azquez
6. Luis Silvestre
7. Vlad Vicol
8. Luis Caffarelli

In Finance

1. C. Chan
2. Alexis Vasseur
3. M. Alessandra Ragusa
4. Sadek Gala

In Mathematical Physics

1. Sadek Gala
2. Alexis Vasseur
3. M. Alessandra Ragusa
4. C. Chan
5. Juan Luis V'azquez
6. Patrick Winkert
7. Matteo Cozzi
8. Dongho Chae

Citations in the corpus

• Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes Equations (2007, background): “Montgomery-Smith introduced the following criterium in [16]: ∫ ∞”
• Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices (2016, background): “MontgomerySmith introduced the following criterium in [22] (see also [23] for this kind of criterion):”