条带上的Boussinesq方程的稳态解

Autonomous Solutions to the Boussinesq Equations on a Strip

找显式解一直是理想流体方程领域中受关注的工作。鉴于柱体上的Euler方程与二维条带上的Boussinesq方程相似,采用分离变量法研究了平面条带形区域上的Boussinesq方程组,在水平与垂直条带区域上找到Boussinesq方程的一些显式稳态解。

Finding explicit solutions has always been a focus of attention in the field of ideal fluid equations. Since the Euler equation of the cylinder is similar to the Boussinesq equation of the two-dimensional strip, the set of Boussinesq equations of the flat striped area is studied, with some explicit steady-state solutions to Boussinesq equations of the horizontal and vertical bands found using the method of separation of variables.