Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844267 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 21 Pages |
Abstract
We prove an existence theorem for a steady vortex pair in two-phase shear flow in a planar domain. The method used is a variational principle in which the kinetic energy is maximised subject to the vorticity belonging to the weak closure of the set of rearrangements of a prescribed function, and subject to another functional representing the “generalised impulse” having a prescribed value. We prove also that when the prescribed value of the “generalised impulse” is large enough, the constrained maximiser of the kinetic energy is in fact a rearrangement of the prescribed function.
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Authors
D. Rebah,