Remarks on Type I Blow-Up for the 3D Euler Equations and the 2D Boussinesq Equations

被引：0
作者：
Dongho Chae
Peter Constantin
机构：
[1] Chung-Ang University,Department of Mathematics
[2] Princeton University,Department of Mathematics
来源：
Journal of Nonlinear Science | 2021年 / 31卷
关键词：
Euler equations; Boussinesq equations; Kinematic relations; Blow-up criterion; Type I singularity; 35Q31; 76B03;
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摘要：
In this paper, we derive kinematic relations for quantities involving the rate of strain tensor and the Hessian of the pressure for solutions of the 3D Euler equations and the 2D Boussinesq equations. Using these kinematic relations, we prove new blow-up criteria and obtain conditions for the absence of type I singularity for these equations. We obtain both global and localized versions of the results. Some of the new blow-up criteria and type I conditions improve previous results of Chae and Constantin (Int Math Res Notices rnab014, 2021).
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