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Artículo
Analysis and numerical simulation of an induction–conduction model arising in steel heat treating
(Elsevier, 2012)
The goal of steel heat treating is to create a hard enough part over certain critical surfaces or volumes of the workpiece and at the same time keeping its ductility properties all over the rest of the workpiece. Weconsider ...
Artículo
On certain doubly non-uniformly and singular non-uniformly elliptic systems
(Elsevier, 2003-09)
We consider the steady state of the thermistor problem consisting of a coupled set of nonlinear elliptic equations governing the temperature and the electric potential. We study the existence of weak solutions under two ...
Artículo
Analysis of a non-uniformly elliptic and nonlinear coupled parabolic–elliptic system arising in steel hardening
(Taylor and Francis, 2013)
The goal of this work is to analyse the existence of weak solutions to a coupled nonlinear parabolic–elliptic system derived from the heating industrial process of a steel workpiece, and whose unknowns are the electric ...
Artículo
Renormalized Solutions to a Nonlinear Parabolic-Elliptic System
(SIAM: Society for Industrial and Applied Mathematics, 2005)
The aim of this paper is to show the existence of renormalized solutions to a parabolicelliptic system with unbounded diffusion coefficients. This system may be regarded as a modified version of the well-known thermistor ...