LONG-TIME EXISTENCE OF GEVREY-2 SOLUTIONS TO THE 3D PRANDTL BOUNDARY LAYER EQUATIONS

被引：0

作者：

Pan, Xinghong ^{[1
,2
]}

Xu, Chao-jiang ^{[1
,2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 211106, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Key Lab MIIT, Nanjing 211106, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2024年 / 22卷 / 05期

关键词：

Long-time existence; tangentially Gevrey-2 solutions; Prandtl equations; WELL-POSEDNESS; ILL-POSEDNESS; ANALYTIC SOLUTIONS; GLOBAL EXISTENCE; INSTABILITY; SYSTEM; EULER;

D O I：

10.4310/CMS.2024.v22.n5.a3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the three dimensional Prandtl boundary layer equations, we will show that for arbitrary M and sufficiently small & varepsilon;, the lifespan of the Gevrey-2 solution is at least of size & varepsilon;(-M) if the initial data lies in suitable Gevrey-2 spaces with size of & varepsilon;.

引用

页码：1203 / 1250

页数：48

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