A quasi-static two-dimensional induction heating problem. I: Modelling and analysis

We consider a nonlinear elliptic-parabolic system modelling induction heating processes when a sinusoidal electromagnetic field is applied at the boundary of the inductor. The magnetic field satisfies an elliptic equation whereas the temperature equation is parabolic. These equations are coupled together due to the conductivities and the Joule effect. We show the existence of a weak solution to the corresponding problem and under additional assumptions, we study the uniqueness of the solution.


Published in:
Mathematical Models & Methods in Applied Sciences, 8, 6, 1003-1021
Year:
1998
ISSN:
0218-2025
Note:
Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Parietti, C, Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland.
ISI Document Delivery No.: 125NX
Times Cited: 4
Cited Reference Count: 6
Laboratories:




 Record created 2006-08-24, last modified 2018-03-17


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