Hamiltonian coupling of electromagnetic field and matter

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dc.contributor.authorEsen, Ogul
dc.contributor.authorPavelka, Michal
dc.contributor.authorGrmela, Miroslav
dc.date.accessioned2025-10-29T11:30:52Z
dc.date.issued2017
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractReversible part of evolution equations of physical systems is often generated by a Poisson bracket. We discuss geometric means of construction of Poisson brackets and their mutual coupling (direct, semidirect and matched pair products) as well as projections of Poisson brackets to less detailed Poisson brackets. This way the Hamiltonian coupling of transport of mixtures with electrodynamics is elucidated.
dc.description.sponsorshipNatural Sciences and Engineering Research Council of Canada (NSERC)
dc.description.sponsorshipPOLYMEM project - European Social Fund (ESF) in the Czech Republic: Education for Competitiveness Operational Programme'' [CZ.1.07/2.3.00/20.0107]
dc.description.sponsorshipCENTEM project - ERDF as part of the Ministry of Education, Youth and Sports OP RDI programme [CZ.1.05/2.1.00/03.0088]
dc.description.sponsorshipCENTEM PLUS - Ministry of Education, Youth and Sports under the National Sustainability Programme I'' [LO1402]
dc.description.sponsorshipCharles University in Prague, project GA UK [70515]
dc.description.sponsorshipCzech Science Foundation [17-15498Y]
dc.description.sponsorshipM. P. is grateful to professor Frantisek Marsik for his generous support and for revealing the world of thermodynamics. O.E. is grateful to professor Hasan Gumral for the enlightening discussions on the Lie-Poisson dynamics and to professor Serkan Sutlu for the invaluable comments on the applications of the matched pair dynamics in case of the field theories. This project was supported by Natural Sciences and Engineering Research Council of Canada (NSERC). The work was partially developed within the POLYMEM project, Reg. no CZ.1.07/2.3.00/20.0107, that is co-funded from the European Social Fund (ESF) in the Czech Republic: Education for Competitiveness Operational Programme'', from the CENTEM project, Reg. no. CZ.1.05/2.1.00/03.0088, co-funded by the ERDF as part of the Ministry of Education, Youth and Sports OP RDI programme and, in the follow-up sustainability stage, supported through CENTEM PLUS (LO1402) by financial means from the Ministry of Education, Youth and Sports under the National Sustainability Programme I''. Further, this work was also supported by Charles University in Prague, project GA UK No 70515, and by Czech Science Foundation, project no. 17-15498Y.
dc.identifier.doi10.1007/s12572-017-0179-4
dc.identifier.endpage20
dc.identifier.issn0975-0770
dc.identifier.issn0975-5616
dc.identifier.issue1
dc.identifier.orcid0000-0003-0605-6737
dc.identifier.startpage3
dc.identifier.urihttps://doi.org/10.1007/s12572-017-0179-4
dc.identifier.urihttps://hdl.handle.net/20.500.14854/11754
dc.identifier.volume9
dc.identifier.wosWOS:000404790600002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSpringer India
dc.relation.ispartofInternational Journal of Advances in Engineering Sciences and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectElectromagnetic field
dc.subjectPoisson bracket
dc.subjectNon-equilibrium thermodynamics
dc.subjectLie group
dc.subjectMatched pairs
dc.titleHamiltonian coupling of electromagnetic field and matter
dc.typeArticle

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