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On the vortex-wave system. (English) Zbl 0733.76015

Mechanics, analysis and geometry: 200 years after Lagrange, 79-95 (1991).
Summary: [For the entire collection see Zbl 0714.00021.]
We study the time evolution of a two-dimensional incompressible nonviscous fluid when the initial vorticity is constituted by a finite number of point vortices and a bounded part. We prove existence and uniqueness of the solutions of the associated initial value problem.

MSC:

76B47 Vortex flows for incompressible inviscid fluids
35Q35 PDEs in connection with fluid mechanics

Citations:

Zbl 0714.00021