About: On Unsteady Flows of Implicitly Constituted Incompressible Fluids

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1137/110830289
Description	We consider unsteady flows of incompressible fluids with a general implicit constitutive equation relating the deviatoric part of the Cauchy stress and the symmetric part of the velocity gradient in such a way that it leads to a maximal monotone (possibly multivalued) graph and the rate of dissipation is characterized by the sum of a Young function. Such a framework is very robust and includes, among others, classical power-law fluids, stress power-law fluids, fluids with activation criteria of Bingham or Herschel--Bulkley type, and shear rate--dependent fluids with discontinuous viscosities as special cases. We establish long-time and large-data existence of weak solution to such a system completed by the initial and the Navier slip boundary conditions in both the subcritical and supercritical cases. We use tools such as Orlicz functions, properties of spatially dependent maximal monotone operators, and Lipschitz approximations of Bochner functions taking values in Orlicz--Sobolev spaces. We consider unsteady flows of incompressible fluids with a general implicit constitutive equation relating the deviatoric part of the Cauchy stress and the symmetric part of the velocity gradient in such a way that it leads to a maximal monotone (possibly multivalued) graph and the rate of dissipation is characterized by the sum of a Young function. Such a framework is very robust and includes, among others, classical power-law fluids, stress power-law fluids, fluids with activation criteria of Bingham or Herschel--Bulkley type, and shear rate--dependent fluids with discontinuous viscosities as special cases. We establish long-time and large-data existence of weak solution to such a system completed by the initial and the Navier slip boundary conditions in both the subcritical and supercritical cases. We use tools such as Orlicz functions, properties of spatially dependent maximal monotone operators, and Lipschitz approximations of Bochner functions taking values in Orlicz--Sobolev spaces. (en)
Title	On Unsteady Flows of Implicitly Constituted Incompressible Fluids On Unsteady Flows of Implicitly Constituted Incompressible Fluids (en)
skos:prefLabel	On Unsteady Flows of Implicitly Constituted Incompressible Fluids On Unsteady Flows of Implicitly Constituted Incompressible Fluids (en)
skos:notation	RIV/00216208:11320/12:10124069!RIV13-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/09/0917), P(LC06052), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Bulíček, Miroslav Málek, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	156501
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10124069
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Orlicz-Sobolev spaces; Lipschitz approximation of Bochner functions; maximal monotone graph; long-time and large-data existence; weak solution; unsteady flow; implicit constitutive theory (en)
http://linked.open.../riv/klicoveSlovo	Orlicz-Sobolev spaces unsteady flow weak solution Lipschitz approximation of Bochner functions implicit constitutive theory long-time and large-data existence maximal monotone graph
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[DC3BF6AE727B]
http://linked.open...i/riv/nazevZdroje	SIAM Journal on Mathematical Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials The Nečas Center for Mathematical Modeling
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	44
http://linked.open...iv/tvurceVysledku	Bulíček, Miroslav Málek, Josef Gwiazda, Piotr Swierczewska-Gwiazda, Agnieszka
http://linked.open...ain/vavai/riv/wos	000310137800020
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	0036-1410
number of pages	46 (xsd:int)
http://bibframe.org/vocab/doi	10.1137/110830289
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	On Unsteady Flows of Implicitly Constituted Incompressible Fluids

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