Chapter of Book
Weak Solutions to a Nonuniformly Elliptic PDE 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 | 2019-09-13 |
Published in |
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ISBN/ISSN | 978-3-319-06952-4 |
Abstract | We study the existence of weak solutions to a nonlinear strongly coupled
parabolic–elliptic PDEs arising in the heating induction-conduction process of steel
hardening. In this setting, our major concern is to consider ... We study the existence of weak solutions to a nonlinear strongly coupled parabolic–elliptic PDEs arising in the heating induction-conduction process of steel hardening. In this setting, our major concern is to consider the case when the electric conductivity is nonuniformly elliptic which, together with a right hand side in L1 in the energy balance equation, yields to a difficult theoretical situation. The existence result gives a weak solution to a similar PDEs system where the energy balance equation has been perturbed by a measure term. |
Project ID. | MTM2010-16401
![]() FQM-315 ![]() |
Citation | González Montesinos, M.T., y Ortegón Gallego, F. (2014). Weak Solutions to a Nonuniformly Elliptic PDE System in the Harmonic Regime. En Advances in Differential Equations and Applications (pp. 31-39). Cham, Switzerland: Springer |
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