论文标题
关于对流流中对称性的注释
Notes on Symmetry in Convective Flows
论文作者
论文摘要
在大多数流体动力学问题中，由于存在对流术语，管理方程是非线性的。然而，可以通过直接总和显示解决方案的存在，在相关的Banach解决方案空间中，在时间演化下是不变的特定子空间。例如，我们考虑经典的对流问题，并展示对称参数如何帮助识别此类子空间，以及它在某些稳定问题中可以扮演的角色。
In most fluid dynamics problems, the governing equations are nonlinear because of the presence of convective terms. Nevertheless, existence of solutions can be shown by direct sum provided one identifies, in the relevant Banach space of solutions, particular subspaces which are invariant under time evolution. As an example, we consider classical convection problems and show how symmetry arguments can help in identifying such subspaces, as well as the role it can play in some stability issues.
