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Sur quelques problèmes à frontière libre analytique dans le plan. (On certain problems with free boundary analytic on the plane). (French) Zbl 0585.35032

Sémin. Bony-Sjöstrand-Meyer, Équations Dériv. Partielles 1984-1985, Exp. No. 10, 17 p. (1985).
The authors give an existence theorem for a general formulation arising in several problems of fluid mechanics with a free boundary. They use analytic functions as in Ovsyannikov’s approach.
Reviewer: I.Diaz

MSC:

35J60 Nonlinear elliptic equations
35R35 Free boundary problems for PDEs
35Q30 Navier-Stokes equations
35A20 Analyticity in context of PDEs
Full Text: Numdam EuDML