论文标题
与n倍对称性的共旋转涡旋，用于无粘性表面准地斑方程
Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation
论文作者
论文摘要
我们为广义表面准地神性方程式提供了特殊溶液的变异结构。这些溶液采用N折对象的N涡流贴片的形式，它们在均匀旋转的框架中稳定。此外，当相应斑块的大小消失时，我们研究了它们的渐近性。在此限制下，我们证明这些溶液是n个dirac质量的降低，其强度相同，位于恒定角速度旋转的常规多边形的n个顶点上。
We provide a variational construction of special solutions to the generalized surface quasi-geostrophic equations. These solutions take the form of N vortex patches with N-fold symmetry , which are steady in a uniformly rotating frame. Moreover, we investigate their asymptotic properties when the size of the corresponding patches vanishes. In this limit, we prove these solutions to be a desingularization of N Dirac masses with the same intensity, located on the N vertices of a regular polygon rotating at a constant angular velocity.
