Strong solutions of the Navier-Stokes equations with singular data

被引：2
作者：
Kozono, Hideo [1 ]
Shimizu, Senjo [2 ]
机构：
[1] Waseda Univ, Dept Math, Tokyo 1698555, Japan
[2] Kyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan
来源：
MATHEMATICAL ANALYSIS IN FLUID MECHANICS: SELECTED RECENT RESULTS | 2018年 / 710卷
关键词：
Navier-Stokes equations; global strong solutions; singular data; Dirac measure; single layer potential; INITIAL VALUES; ILL-POSEDNESS; SPACES;
D O I：
10.1090/conm/710/14369
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct strong solutions in the Serrin class of the NavierStokes equations with singular data. In 2D case, our results cover the initial vorticity as the Dirac measure and the external force whose support consists of a single point. In 3D case, we can handle the initial vortex sheet supported on the sphere and the singular external force whose support is concentrated on the surface.
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页码：163 / 173
页数：11
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