Existence of traveling waves in the Stokes-Boussinesq system for reactive flows

被引：10

作者：

Lewicka, Marta ^{[1
]}

机构：

[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 237卷 / 02期

关键词：

D O I：

10.1016/j.jde.2007.03.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Stokes-Boussinesq equations in a slanted (that is, not aligned with gravity's direction) cylinder of any dimension and with an arbitrary Rayleigh number. We prove the existence of a non-planar traveling wave solution, propagating at a constant speed, and satisfying the Dirichlet boundary condition in the velocity and the Neumann condition in the temperature. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：343 / 371

页数：29

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