Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data

被引：13

作者：

Kukavica, Igor ^{[1
]}

Temam, Roger ^{[2
]}

Vicol, Vlad ^{[1
]}

Ziane, Mohammed ^{[1
]}

机构：

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

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

来源：

COMPTES RENDUS MATHEMATIQUE | 2010年 / 348卷 / 11-12期

基金：

美国国家科学基金会;

关键词：

PRIMITIVE EQUATIONS; WELL-POSEDNESS; VISCOSITY; ABSENCE;

D O I：

10.1016/j.crma.2010.03.023

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 hydrostatic incompressible Euler equations (inviscid primitive equations) on domains with boundary, with a novel side-boundary condition. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：639 / 645

页数：7

共 20 条

[1]

BARDOS C, 1976, C R ACAD SCI PAR A B, V282, pA995

[2]

BARDOS C., 1977, ANN SCUOLA NORM-SCI, V4, P647

[3]

BARDOS C, 1976, C R ACAD SCI PARIS A, V282, pAR3

[4] Homogeneous hydrostatic flows with convex velocity profiles [J].

Brenier, Y .

NONLINEARITY, 1999, 12 (03) :495-512

[5]

Grenier E, 1999, ESAIM-MATH MODEL NUM, V33, P965

[6]

KUKAVICA I, DISCRETE A IN PRESS

[7]

KUKAVICA I, LOCAL EXISTENCE UNIQ

[8]

Kukavica I, 2009, P AM MATH SOC, V137, P669

[9] Analyticity of solutions for a generalized Euler equation [J].

Levermore, CD ;

Oliver, M .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 133 (02) :321-339

[10] NEW FORMULATIONS OF THE PRIMITIVE EQUATIONS OF ATMOSPHERE AND APPLICATIONS [J].

LIONS, JL ;

TEMAM, R ;

WANG, SH .

NONLINEARITY, 1992, 5 (02) :237-288

← 1 2 →