Existence of steady vortex rings in an ideal fluid. (English) Zbl 0709.35081

Ambrosetti, Antonio; Struwe, Michael

Appl. Math. Lett. 2, No. 2, 183-186 (1989).

Summary: We prove the existence of global steady vortex rings in an ideal fluid with given propagation speed \(W>0\), flux constant \(k\geq 0\) and any bounded, positive, nondecreasing vorticity functions.

MSC:

35Q35	PDEs in connection with fluid mechanics
76B47	Vortex flows for incompressible inviscid fluids
35J65	Nonlinear boundary value problems for linear elliptic equations

Keywords:

steady vortex rings

References:

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