A NONLINEAR PARABOLIC SYSTEM ARISING IN THERMOMECHANICS AND IN THERMOMAGNETISM
1992 ◽
Vol 02
(03)
◽
pp. 271-281
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Keyword(s):
We consider a system of two parabolic equations modeling the thermo-convection of a Newtonian fluid, with temperature dependent viscosity of energy dissipation, as well as the thermal effects of the eddy currents, induced by a slowly varying magnetic field, in cylinders with arbitrary cross-section. We show the existence of a weak solution of the corresponding initial-boundary value problem and, under additional assumptions, we consider the question of the uniqueness and regularity of the solution.
2018 ◽
Vol 461
(1)
◽
pp. 273-303
◽
2008 ◽
Vol 339
(2)
◽
pp. 1362-1373
◽
2018 ◽
Vol 146
◽
pp. 240-250
◽
2010 ◽
Vol 10
(04)
◽
pp. 497-508
◽
1987 ◽
Vol 7
(4)
◽
pp. 361-374
◽
1972 ◽
Vol 69
(4)
◽
pp. 287-293
2000 ◽
Vol 11
(4)
◽
pp. 413-432