Article ID Journal Published Year Pages File Type
844267 Nonlinear Analysis: Theory, Methods & Applications 2007 21 Pages PDF
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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Physical Sciences and Engineering Engineering Engineering (General)
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