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TitleA class of stationary nonlinear Maxwell systems
Author(s)Miranda, Fernando
Rodrigues, José Francisco
Santos, Lisa
KeywordsElectromagnetostatic problems
Variational methods
Variational inequalities
Superconductivity models
Issue date2009
PublisherWorld Scientific Publishing
JournalMathematical Models and Methods in Applied Sciences
Citation"Mathematical Models and Methods in Applied Sciences". ISSN 0218-2025. 19:10 (2009) 1883-1905.
Abstract(s)We study a new class of electromagnetostatic problems in the variational framework of the subspace of $W^{1,p}(\Omega)^3$ of vector functions with zero divergence and zero normal trace, for $p>6/5$, in smooth, bounded and simply connected domains $\Omega$ of $\mathbb R^3$. We prove a Poincaré-Friedrichs type inequality and we obtain the existence of steady-state solutions for an electromagnetic induction heating problem and for a quasi-variational inequality modelling a critical state generalized problem for type-II superconductors.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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