A blow-up criterion for classical solutions to the Prandtl equations

被引：0
|
作者：
Sun, Yimin [1 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710127, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 11期
关键词：
ZERO-VISCOSITY LIMIT; NAVIER-STOKES EQUATION; WELL-POSEDNESS; ANALYTIC SOLUTIONS; ILL-POSEDNESS; HALF-SPACE; EXISTENCE; SINGULARITY;
D O I：
10.1063/1.5079672
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we obtain a blow-up criterion for classical solutions to the two-dimensional Prandtl equations under a monotonicity assumption in weighted Sobolev spaces. Our proof is based on nonlinear energy estimates inspired by Masmoudi and Wong [Commun. Pure Appl. Math. 68, 1683-1741 (2015)] and maximum principles for parabolic equations. Published under license by AIP Publishing.
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页数：15
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