Duality of conservation laws and their role in the processes of emergence of physical structures and formations

dc.contributor.authorPetrova, Ludmila I.
dc.coverage.issue1cs
dc.coverage.volume10cs
dc.date.accessioned2021-07-02T06:09:13Z
dc.date.available2021-07-02T06:09:13Z
dc.date.issued2021cs
dc.description.abstractAs it is known, the conservation laws for material media are conservationlaws for energy, linear momentum, angular momentum, and mass. Such conser-vation laws are described by differential equations. And the conservation laws forphysical fields are conservation laws that state the presence of conservative physicalquantities or objects (structures). Such conservation laws are described by closedexterior skew-symmetric forms. It can be seen that conservation laws possess dual-ity. The conservation laws for material media and the conservation laws for physicalfields are different. A peculiarity consists in the fact that there exists a connectionbetween the conservation laws for material media and those for physical fields. Thisconnection is realized discretely in the evolutionary process. It describes the emer-gence of physical structures and the observed formations, such as waves, vortices,turbulent pulsations.en
dc.formattextcs
dc.format.extent55-70cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2021 vol. 10, č. 1, s. 55-70. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2021.05en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/200374
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/10_1/ma_10_1_petrova_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.titleDuality of conservation laws and their role in the processes of emergence of physical structures and formationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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