Premium
A Two‐dimensional Stationary Induction Heating Problem
Author(s) -
Clain Stéphane,
Touzani Rachid
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199706)20:9<759::aid-mma879>3.0.co;2-s
Subject(s) - mathematics , induction heating , calculus (dental) , mathematical analysis , mathematical optimization , physics , electromagnetic coil , medicine , dentistry , quantum mechanics
We consider in this paper a system of equations modelling a steady‐state induction heating process for ‘two‐dimensional geometries’. Existence of a solution is stated in W 1, p (Ω) Sobolev spaces and is derived using the Leray–Schauder's fixed point theory. © 1997 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.