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Browsing Artículos (Matemática Aplicada I) by Author "Ortegón Gallego, Francisco"
Now showing items 1-9 of 9
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Article
Analysis and numerical simulation of an induction–conduction model arising in steel heat treating
Díaz Moreno, J.M.; García Vázquez, C.; González Montesinos, María Teresa; Ortegón Gallego, Francisco (Elsevier, 2012)The goal of steel heat treating is to create a hard enough part over certain critical surfaces or volumes of the workpiece ...
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Article
Analysis of a non-uniformly elliptic and nonlinear coupled parabolic–elliptic system arising in steel hardening
González Montesinos, María Teresa; Ortegón Gallego, Francisco (Taylor and Francis, 2013)The goal of this work is to analyse the existence of weak solutions to a coupled nonlinear parabolic–elliptic system ...
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Article
Industrial Steel Heat Treating: Numerical Simulation of Induction Heating and Aquaquenching Cooling with Mechanical Effects
Díaz Moreno, José Manuel; García Vázquez, Concepción; González Montesinos, María Teresa; Ortegón Gallego, Francisco; Viglialoro, Giuseppe (MDPI, 2021)This paper summarizes a mathematical model for the industrial heating and cooling processes of a steel workpiece corresponding ...
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Article
On an induction–conduction PDEs system in the harmonic regime
González Montesinos, María Teresa; Ortegón Gallego, Francisco (Elsevier, 2014)We study the existence of weak solutions to a nonlinear coupled parabolic–elliptic system arising in the heating industrial ...
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Article
On certain doubly non-uniformly and singular non-uniformly elliptic systems
González Montesinos, María Teresa; Ortegón Gallego, Francisco (Elsevier, 2003-09)We consider the steady state of the thermistor problem consisting of a coupled set of nonlinear elliptic equations governing ...
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Article
Partial Differential Equations: On the existence of solutions for a strongly degenerate system
González Montesinos, María Teresa; Ortegón Gallego, Francisco (Elsevier, 2006)We establish the existence of a solution in a certain sense to a strongly degenerate problem consisting in a coupled ...
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Article
Renormalized Solutions to a Nonlinear Parabolic-Elliptic System
González Montesinos, María Teresa; Ortegón Gallego, Francisco (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 ...
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Article
Steel heat treating: Mathematical modelling and numerical simulation of a problem arising in the automotive industry
Díaz Moreno, José Manuel; García Vázquez, Concepción; González Montesinos, María Teresa; Ortegón Gallego, Francisco; Viglialoro, Giuseppe (ASTES Publishers, 2017)We describe a mathematical model for the industrial heating and cooling processes of a steel workpiece representing the ...
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Article
The thermistor problem with degenerate thermal conductivity and metallic conduction
González Montesinos, María Teresa; Ortegón Gallego, Francisco (American Institute of Mathematical Sciences, 2007)The aim of this work is to establish the existence of a capacity solution to the thermistor problem supposing that the ...