Su un caso di esistenza e su uno di esistenza e unicità della soluzione di un problema della magnetoidrodinamica stazionaria

This paper deals with some questions of classical solution existence and uniqueness for the problem of the steady flow of an homogeneous, incompressible, perfect, electrically conducting fluid past a dielectric and discharged obstacle in which a magnetic dipole is situated. More precisely, in the first place the non-existence of solutions of the above mentioned problem is proved for fluids of finite conductivity, if rather restrictive conditions are placed on behavior of the kinetic and magnetic fields at infinity. In the next place an existence and uniqueness theorem is established for perfectly conducting fluids. © 1979 Università degli Studi di Ferrara.