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 a prescribed impulse (linear momentum). A form of orbital stability is deduced.
|Number of pages||26|
|Journal||Journal of Differential Equations|
|Early online date||15 Sept 2020|
|Publication status||Published - 5 Jan 2021|
ASJC Scopus subject areas
- Applied Mathematics