Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 59, pp. 1-8.

Title: Existence and uniqueness for magnetohydrodynamic flows 
       in pipes with viscosity dependent on the temperature   
   
Author: Giovanni Cimatti (Univ. di Pisa, Italy)

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.