We prove existence of maximisers for a variational problem for a steady vortex anomaly of bounded extent in a uniform shear flow in ℝ2. Kinetic energy is maximised subject to the vorticity being a rearrangement of a prescribed function, and subject to a linear pseudo-impulse constraint.
|Number of pages||25|
|Journal||Communications in Partial Differential Equations|
|Publication status||Published - 1999|
ASJC Scopus subject areas
- Applied Mathematics