Gevrey regularity for the Navier-Stokes in a half-space

被引：14

作者：

Camliyurt, Guher ^{[1
]}

Kukavica, Igor ^{[1
]}

Vicol, Vlad ^{[2
]}

机构：

[1] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 265卷 / 09期

关键词：

Real analyticity; Gevrey regularity; Bounded domain; Navier-Stokes equations; SPATIAL ANALYTICITY; EQUATIONS; EULER; EXISTENCE; BOUNDARY; RADIUS; DOMAIN;

D O I：

10.1016/j.jde.2018.05.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Navier-Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy-based proof for the instantaneous space-time analyticity and Gevrey-class regularity of the solution, uniformly up to the boundary of the half space. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：4052 / 4075

页数：24

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