Convergence to Stratified Flow for an Inviscid 3D Boussinesq System
Convergence to Stratified Flow for an Inviscid 3D Boussinesq System
复制标题
无粘 3D Boussinesq 系统的分层流收敛
DOI：
10.4310/cms.2018.v16.n6.a10
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Klaus Widmayer
中科院分区：
文献类型：
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作者：
Klaus Widmayer
我们研究了特殊的，分层的解决方案的3D Boussinesq系统描述一个不可压缩的，无粘的3D流体的密度（或温度，取决于上下文）的影响下的单向引力的稳定性。的行为取决于一个各向异性色散算子的性质与弱衰减的时间。然而，色散衰减也取决于系统中的重力的强度和分层的解决方案，其稳定性，我们研究的配置文件。我们表明，作为系统中的色散的强度趋于无穷大，三维系统的方程趋于一个分层系统的二维欧拉方程分层密度。
We study the stability of special, stratified solutions of a 3d Boussinesq system describing an incompressible, inviscid 3d fluid with variable density (or temperature, depending on the context) under the effect of a uni-directional gravitational force. The behavior is shown to depend on the properties of an anisotropic dispersive operator with weak decay in time. However, the dispersive decay also depends on the strength of the gravity in the system and on the profile of the stratified solution, whose stability we study. We show that as the strength of the dispersion in the system tends to infinity, the 3d system of equations tends to a stratified system of 2d Euler equations with stratified density.