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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Continuum fluid mechanics is a phenomenological theory based on macroscopic observable state variables, the time evolution of which is described by means of systems of partial differential equations. The resulting mathematical problems are highly non-linear and rather complex, even in the simplest physically relevant situations. We discuss several recent results and newly developed methods based on the concept of weak solution. The class of weak solutions is happily large enough in order to guarantee the existence of global-in-time solutions without any essential restrictions on the size of the relevant data. On the other hand, the underlying structural hypotheses impose quite severe restrictions on the specific form of constitutive relations. The best known open problems - hypothetical presence of vacuum zones, propagation of density oscillations, sequential stability of the temperature field, among others - are discussed. Continuum fluid mechanics is a phenomenological theory based on macroscopic observable state variables, the time evolution of which is described by means of systems of partial differential equations. The resulting mathematical problems are highly non-linear and rather complex, even in the simplest physically relevant situations. We discuss several recent results and newly developed methods based on the concept of weak solution. The class of weak solutions is happily large enough in order to guarantee the existence of global-in-time solutions without any essential restrictions on the size of the relevant data. On the other hand, the underlying structural hypotheses impose quite severe restrictions on the specific form of constitutive relations. The best known open problems - hypothetical presence of vacuum zones, propagation of density oscillations, sequential stability of the temperature field, among others - are discussed. (en)
Title	Mathematical analysis of fluid in motion Mathematical analysis of fluid in motion (en)
skos:prefLabel	Mathematical analysis of fluid in motion Mathematical analysis of fluid in motion (en)
skos:notation	RIV/67985840:_____/11:00369769!RIV12-AV0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/08/0315), Z(AV0Z10190503)
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Feireisl, Eduard
http://linked.open.../riv/druhVysledku	C - Kapitola v knize
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	210868
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00369769
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Navier-Stokes system; fluid mechanics; scale analysis (en)
http://linked.open.../riv/klicoveSlovo	fluid mechanics Navier-Stokes system scale analysis
http://linked.open...ontrolniKodProRIV	[6B2C6A162689]
http://linked.open...i/riv/mistoVydani	New York
http://linked.open...vEdiceCisloSvazku	The IMA volumes in mathematics and its applications, 153
http://linked.open...i/riv/nazevZdroje	Nonlinear conservation laws and applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	490 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Mathematical analysis of complex systems in fluid mechanics
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Feireisl, Eduard
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
number of pages	28 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-1-4419-9554-4_3
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-1-4419-9553-7

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