Giovanni Cimatti
Abstract:
The steady motion of a viscous fluid in pipes of arbitrary cross-sections
under a transverse magnetic field is studied, assuming that the
viscosity and the electric and thermal conductivity are given functions
of the temperature. Theorems of existence and uniqueness for the
nonlinear elliptic system governing the problem are presented.
Submitted December 15, 2008. Published April 29, 2009.
Math Subject Classifications: 76W05, 35J55
Key Words: Elliptic system; magnetohydrodynamic flow;
temperature-dependent viscosity.
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Giovanni Cimatti Dipartimento di Matematica, Universita di Pisa Largo Bruno Pontecorvo 5, Pisa, Italy email: cimatti@dm.unipi.it |
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