Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes Equations
By C. Chan, Alexis Vasseur. 2007
48 citations recorded by the source corpus.
This article is devoted to a Log improvement of Prodi-Serrin criterion for global regularity to solutions to Navier-Stokes equations in dimension 3. It is shown that the global regularity holds under the condition that |u|/(log(1+|u|)) is integrable in space time variables. keywords: Navier-Stokes, regularity criterion, a priori estimates MSC: 35B65, 76D03, 76D05
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a9ac8c7d135a373c0905076f173215ab484611a9
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In Applied Mathematics
- Dongho Chae
- Tsuyoshi Yoneda
- Jiahong Wu
- Taoufik Hmidi
- Sahbi Keraani
- John D. Gibbon
- Shangkun Weng
- Chongsheng Cao
In Mathematical Physics
- Dongho Chae
- Tsuyoshi Yoneda
- Jiahong Wu
- Taoufik Hmidi
- Sahbi Keraani
- Shangkun Weng
- Chongsheng Cao
- G A Seregin
Citations in the corpus
- ON THE LIOUVILLE THEOREM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A CRITICAL SPACE (2011, methodology): “To prove our theorem we use the De Giorgi method, which is adapted to the NavierStokes equations by Vasseur([11])(see also [2]).”