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EDP Sciences, ESAIM: Mathematical Modelling and Numerical Analysis, 7(31), p. 845-870

DOI: 10.1051/m2an/1997310708451

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Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients

Journal article published in 1997 by Stéphane Clain, Rachid Touzani ORCID
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Abstract

We consider in this paper a system of equations modelling a quasi-stationary induction heating process. Existence of a solution is obtained in Sobolev spaces using estimations in L∞-norm. Using a truncation technique, we build a sequence of truncated problems the solutions of which converge to a solution of the initial unbounded coefficient problem.