Marchioro, Carlo; Pulvirenti, Mario 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. Cited in 6 ReviewsCited in 18 Documents MSC: 76B47 Vortex flows for incompressible inviscid fluids 35Q35 PDEs in connection with fluid mechanics Keywords:time evolution; incompressible nonviscous fluid; initial vorticity; point vortices; existence and uniqueness of the solutions; initial value problem Citations:Zbl 0714.00021 PDFBibTeX XML