A Level Set Formulation for the 3d Incompressible Euler Equations
نویسندگان
چکیده
which implies that the topology of the vorticity vector field must be very simple. Even local existence of the Clebsch representation is only guaranteed at points where the vorticity does not vanish. It has been shown (Graham-Henyey [17]) that in general (1.3) can not hold around a point with zero vorticity. For more discussion on the properties of classical Clebsch variables and its various generalizations, see Constantin [12], Graham-Henyey [17], Marsden-Weinstein [24] and related references therein.
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