The new class of hybrid equilibria can be viewed as continuously interpolating between the limiting pure point vortex equilibria. ![]() One such limit results in a two-real-parameter family of smoothly deformable point vortex equilibria in an otherwise irrotational flow. We also examine limits of these new Stuart-embedded point vortex equilibria where the Stuart-type vorticity becomes localized into additional point vortices. The solutions provide a class of hybrid equilibria comprising two point vortices of unit circulation – a point vortex pair – embedded in a smooth sea of non-zero vorticity of ‘Stuart-type’ so that the vorticity $\unicode)$, where $a$ and $b$ are constants. ![]() A new family of exact solutions to the two-dimensional steady incompressible Euler equation is presented.
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