Sur l'écoulement d'un fluide incompressible,conducteur, limité par une paroi isolatrice infinie

Summary The paper studies the steady plane flow of a non-viscous incompressible and perfectly conductive fluid limited by an insulatings wall. The flow, analysed under the hypothesis of the linearized theory, takes place in presence of a magnetic field arbitrarilys oriented with respect to the direction of the velocity of the fluid at infinity. The case of the aligned fields is developed taking into account the propagation of the perturbations at infinity upon the direction of the magnetic field. The mathematical problem is that of determining a piecewise holomorphic function, two of the actual connecting relations on the boundary being known.