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TitleOn a p-curl system arising in electromagnetism
Author(s)Miranda, Fernando
Rodrigues, José Francisco
Santos, Lisa
KeywordsElectromagnetic problems
Variational methods
Variational inequalities
Superconductivity models
Electromagnetic problems; variational methods
Issue dateJun-2012
PublisherAmerican Institute of Mathematical Sciences (AIMS)
JournalDiscrete and Continuous Dynamical Systems - Series S (dcds-S)
Abstract(s)We prove existence of solution of a $p$-curl type evolutionary system arising in electromagnetism with a power nonlinearity of order $p$, $1<p<\infty$, assuming natural tangential boundary conditions. We consider also the asymptotic behaviour in the power obtaining, when $p$ tends to infinity, a variational inequality with a curl constraint. We also discuss the existence, uniqueness and continuous dependence on the data of the solutions to general variational inequalities with curl constraints dependent on time, as well as the asymptotic stabilization in time towards the stationary solution with and without constraint.
ISSN1937-1632 (print)
1937-1179 (online)
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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