论文标题
羊肉偶极子的存在和稳定性
Existence and Stability of the Lamb Dipoles for the Quasi-Geostrophic Shallow-Water Equations
论文作者
论文摘要
在本文中，我们证明了涡流偶极子的非线性轨道稳定性，用于准地斑浅水（QGSW）方程。涡流偶极子是QGSW方程的显式行驶波解决方案，对于稳定的平面欧拉方程而言，它们是羔羊经典圆形涡流的类似物和Chaplygin。我们建立了这些涡旋极的变分表征，这为稳定性结果提供了基础。
In this paper, we prove the nonlinear orbital stability of vortex dipoles for the quasi-geostrophic shallow-water (QGSW) equations. The vortex dipoles are explicit travelling wave solutions to the QGSW equations, which are analogues of the classical circular vortex of Lamb and Chaplygin for the steady planar Euler equations. We establish a variational characterization of these vortex poles, which provides a basis for the stability result.
