We study the flow in a channel of a fluid obeying the equations of magnetohydrodynamics under the hypotheses that viscosity, resistivity and thermal conductivity depend on the temperature. The special class of solutions for which two functional dependences between temperature and magnetic field and velocity and magnetic field exist is considered.
Cite this article
Giovanni Cimatti, Functional Solutions for a Plane Problem in Magnetohydrodinamics. Rend. Sem. Mat. Univ. Padova 127 (2012), pp. 57–74DOI 10.4171/RSMUP/127-4