Specifically, we consider the cases

Specifically, we consider the cases where the vorticity is a δ-function (a point vortex), or has small compact support (a
vortex patch). Using a global bifurcation theoretic argument, we construct a continuum of finite-amplitude, finite-vorticity solutions for the periodic point vortex problem. For the non-periodic case, with either a vortex point or patch, we prove the existence of a continuum of small-amplitude, small-vorticity solutions.

ผลลัพธ์ (อังกฤษ) 2:

Specifically, we consider the Cases where the vorticity is a density-function (a Point Vortex), or has Small Compact Support (a
Vortex patch). Using a global bifurcation theoretic argument, we construct a continuum of finite-amplitude, finite-vorticity solutions for the periodic point vortex problem. For the non-periodic case, with either a vortex point or patch, we prove the existence of a continuum of small-amplitude, small-vorticity solutions.