论文标题
平面涡流对的紧凑性和稳定性，有规定的冲动
Compactness and stability for planar vortex-pairs with prescribed impulse
论文作者
论文摘要
浓度 - 紧凑度用于证明最大化序列的紧凑性，用于在均匀的平面理想流体流中的对称对称性稳定稳定涡流对，其中要最大化动能，约束集包含所有等效重新重新排列（表示给定函数（表示vorticition）的所有等效重新安排（代表vorticition）的组合（代表vorticition）的组合（均为vortical equipum pecress）。推导了轨道稳定性的一种形式。
Concentration-compactness is used to prove compactness of maximising sequences for a variational problem governing symmetric steady vortex-pairs in a uniform planar ideal fluid flow, where the kinetic energy is to be maximised and the constraint set comprises the set of all equimeasurable rearrangements of a given function (representing vorticity) that have prescribed impulse (lnear momentum). A form of orbital stability is deduced.
