On the Existence of Traveling Waves in the 3D Boussinesq System

被引：0
作者：
Marta Lewicka
Piotr B. Mucha
机构：
[1] University of Minnesota,Department of Mathematics
[2] University of Warsaw,Institute of Applied Mathematics and Mechanics
来源：
Communications in Mathematical Physics | 2009年 / 292卷
关键词：
Rayleigh Number; Stokes System; Uniform Bound; Stokes Operator; Boussinesq System;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We extend earlier work on traveling waves in premixed flames in a gravitationally stratified medium, subject to the Boussinesq approximation. For three-dimensional channels not aligned with the gravity direction and under the Dirichlet boundary conditions in the fluid velocity, it is shown that a non-planar traveling wave, corresponding to a non-zero reaction, exists, under an explicit condition relating the geometry of the crossection of the channel to the magnitude of the Prandtl and Rayleigh numbers, or when the advection term in the flow equations is neglected.
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页码：417 / 429
页数：12
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