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Un problème inverse en formage des métaux liquides. (An inverse problem for liquid metals forming). (French) Zbl 0672.65101
The authors consider the problem of a jet of liquid metal falling under the influence of gravity, and subject to an external magnetic field. They show that if the shape of the jet is known, then, provided that the boundary of the section is an analytic curve, it is possible to determine the magnetic field in the neighbourhood of the boundary. The analysis is applied to the case where the boundary of a section is a trochoidal curve. The possibility of finding the magnetic field everywhere is also discussed.
Reviewer: Ll.G.Chambers
MSC:
65Z05Applications of numerical analysis to physics
35R30Inverse problems for PDE
76B10Jets and cavities, cavitation, free-streamline theory, water-entry problems, etc.
76W05Magnetohydrodynamics and electrohydrodynamics
35J55Systems of elliptic equations, boundary value problems (MSC2000)