Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/17881

TítuloOn a p-curl system arising in electromagnetism
Autor(es)Miranda, Fernando
Rodrigues, José Francisco
Santos, Lisa
Palavras-chaveElectromagnetic problems
Variational methods
Variational inequalities
Superconductivity models
Electromagnetic problems; variational methods
DataJun-2012
EditoraAmerican Institute of Mathematical Sciences (AIMS)
RevistaDiscrete and Continuous Dynamical Systems - Series S (dcds-S)
Resumo(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.
Tipoarticle
URIhttp://hdl.handle.net/1822/17881
DOI10.3934/dcdss.2012.5.605
ISSN1937-1632 (print)
1937-1179 (online)
Versão da editorahttp://dx.doi.org/10.3934/dcdss.2012.5.605
Arbitragem científicayes
AcessoopenAccess
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

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