Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain

被引：58

作者：

Kukavica, Igor ^{[2
]}

Temam, Roger ^{[3
]}

Vicol, Vlad C. ^{[1
]}

Ziane, Mohammed ^{[2
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

[3] Indiana Univ, Inst Sci Comp & Appl Math, Bloomington, IN 47405 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 03期

基金：

美国国家科学基金会;

关键词：

Hydrostatic Euler equations; Non-viscous primitive equations; Hydrostatic approximation; Well-posedness; Bounded domain; Analyticity; NAVIER-STOKES EQUATION; PRIMITIVE EQUATIONS; PRANDTL EQUATIONS; WELL-POSEDNESS; ANALYTICITY; VISCOSITY; DERIVATION; ABSENCE; THEOREM; OCEAN;

D O I：

10.1016/j.jde.2010.07.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We address the question of well-posedness in spaces of analytic functions for the Cauchy problem for the hydrostatic incompressible Euler equations (inviscid primitive equations) on domains with boundary. By a suitable extension of the Cauchy-Kowalewski theorem we construct a locally in time, unique, real-analytic solution and give an explicit rate of decay of the radius of real-analyticity. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1719 / 1746

页数：28

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