Rendiconti del Seminario Matematico della Università di Padova


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Volume 127, 2012, pp. 57–74
DOI: 10.4171/RSMUP/127-4

Functional Solutions for a Plane Problem in Magnetohydrodinamics

Giovanni Cimatti[1]

(1) Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5,, 56127, Pisa, Italy

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.

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Cimatti Giovanni: Functional Solutions for a Plane Problem in Magnetohydrodinamics. Rend. Sem. Mat. Univ. Padova 127 (2012), 57-74. doi: 10.4171/RSMUP/127-4