I believe that the answer has to do with path deformation being valid, and so perhaps it doesn't even matter which closed curve we choose, but I'm not sure why that would be the case. A place or situation regarded as drawing into its center all that surrounds it, and hence being inescapable or destructive: a vortex of political infighting a vortex of despair. How can we evaluate this if our " $C$" is really a single point? A whirling mass of water or air that sucks everything near it toward its center. Here we define a vortex as a set of fluid trajectories along.
The stream function of the j $^$$ around a closed curve $C$. dent vortex definition is essential for rotating flows and for flows with interacting vortices. points where the vorticity field is singular), centred at $z_1,z_2.z_N$ in the plane. We imagine the vorticity is concentrated in $N$ point vortices, (i.e. An equivalent definition of pinchoff was given by Dabiri 8 as a process whereby a forming vortex ring is no longer able to entrain additional vorticity. Next we shall examine a model of incompressible, inviscid flow. Since 1986 we have been and remain an American Owned, Veteran Owned, Family owned and operated business of hard-working folks located here in south central. I'm having trouble understanding something in a book that I'm reading (Chorin & Marsden intro to fluid mechanics):
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