Mostrar el registro sencillo del ítem

Incoming and disappearing solutions for Maxwell's equations

hal.structure.identifierDipartimento di Matematica
dc.contributor.authorCOLOMBINI, Ferruccio
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPETKOV, Vesselin
hal.structure.identifierDepartment of Mathematics - University of Michigan
dc.contributor.authorRAUCH, Jeffrey
dc.date.accessioned2024-04-04T02:19:40Z
dc.date.available2024-04-04T02:19:40Z
dc.date.created2010-11-17
dc.date.issued2011
dc.identifier.issn0002-9939
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189425
dc.description.abstractEnWe prove that in contrast to the free wave equation in $\R^3$ there are no incoming solutions of Maxwell's equations in the form of spherical or modulated spherical waves. We construct solutions which are corrected by lower order incoming waves. With their aid, we construct dissipative boundary conditions and solutions to Maxwell's equations in the exterior of a sphere which decay exponentially as $t \to +\infty$. They are asymptotically disappearing. Disappearing solutions which are identically zero for $t \geq T > 0$ are constructed which satisfy maximal dissipative boundary conditions which depend on time $t$. Both types are invisible in scattering theory.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.title.enIncoming and disappearing solutions for Maxwell's equations
dc.typeArticle de revue
dc.identifier.doi10.1090/S0002-9939-2011-10885-2
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halPhysique [physics]/Physique mathématique [math-ph]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.identifier.arxiv1009.0564
bordeaux.journalProceedings of the American Mathematical Society
bordeaux.page2163-2173
bordeaux.volume139
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00947056
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00947056v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings%20of%20the%20American%20Mathematical%20Society&rft.date=2011&rft.volume=139&rft.issue=6&rft.spage=2163-2173&rft.epage=2163-2173&rft.eissn=0002-9939&rft.issn=0002-9939&rft.au=COLOMBINI,%20Ferruccio&PETKOV,%20Vesselin&RAUCH,%20Jeffrey&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem