Article
On an induction–conduction PDEs system in the harmonic regime
Author/s | González Montesinos, María Teresa
Ortegón Gallego, Francisco |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2014 |
Deposit Date | 2019-09-12 |
Published in |
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Abstract | We study the existence of weak solutions to a nonlinear coupled parabolic–elliptic system arising in the heating industrial process of a
steel workpiece. The unknowns are the electric potential, the magnetic vector potential ... We study the existence of weak solutions to a nonlinear coupled parabolic–elliptic system arising in the heating industrial process of a steel workpiece. The unknowns are the electric potential, the magnetic vector potential and the temperature. The different time scales related to the electric potential and the magnetic vector potential versus the temperature lead us to introduce the harmonic regime. This yields to a new system of nonlinear partial differential equations. |
Project ID. | MTM2010-16401
FQM-315 |
Citation | González Montesinos, M.T. y Ortegón Gallego, F. (2014). On an induction–conduction PDEs system in the harmonic regime. Nonlinear Analysis: Real World Applications, 15 (January 2014), 58-66. |
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