In this paper, we consider dynamics defined by the Navier–Stokes equations in the Oberbeck–Boussinesq approximation in a two dimensional domain. This model of fluid dynamics involves fundamental physical effects: convection, and diffusion. The main result is as follows: local semiflows, induced by this problem, can generate all possible structurally stable dynamics defined by \(C^1\) smooth vector fields on compact smooth manifolds (up to an orbital topological equivalency). To generate a prescribed dynamics, it is sufficient to adjust some parameters in the equations, namely, the viscosity coefficient, an external heat source, some parameters in boundary conditions and the small perturbation of the gravitational force.

在本文中，我们考虑了二维域中Oberbeck-Boussinesq近似中由Navier-Stokes方程定义的动力学。流体动力学模型涉及基本的物理效应：对流和扩散。主要结果如下：由该问题引起的局部半流可以生成所有可能的结构稳定动力学，这些动力学由紧凑光滑流形上的（\ C ^ 1 \）光滑向量场定义（直至轨道拓扑当量）。为了产生规定的动力学，足以调整方程式中的一些参数，即粘度系数，外部热源，边界条件下的一些参数以及重力的微扰。