We prove nonlinear stability of planar vortex patches concentrating at a strict local minimum point of the Robin function in a bounded domain. These vortex patches are stationary solutions of the 2-D incompressible Euler equations. This is achieved by showing that they are strict local maximizers of the kinetic energy among isovortical patches.
The Biot-Savart operator of a bounded domain
Approximate Deconvolution Model in a bounded domain with a vertical regularization
Motion of slightly compressible fluids in a bounded domain. II
![QR code for arXiv:1706.10070 [math.AP]](http://oss.arxitics.com/images/favicon.svg)