论文标题
3D原始方程的liouville型定理
A Liouville-type theorem for the 3D primitive equations
论文作者
论文摘要
在大多数地球物理流体模型中使用3D原始方程来近似大规模的海洋和大气动力学。我们证明，与Coriolis旋转项或粘度无关，并不存在带有紧凑型支撑的3D原始方程的平稳固定溶液。该结果与最近确定的不可压缩3D Euler方程的紧凑型平滑溶液形成鲜明对比。
The 3D primitive equations are used in most geophysical fluid models to approximate the large scale oceanic and atmospheric dynamics. We prove that there do not exist smooth stationary solutions to the 3D primitive equations with compact support, independently of the presence of the Coriolis rotation term or the viscosity. This result is in strong contrast with the recently established existence of compactly supported smooth solutions to the incompressible 3D Euler equations.
