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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F11%3A10104787%21RIV12-GA0-11320___
rdf:type
n11:Vysledek skos:Concept
rdfs:seeAlso
http://www.ems-ph.org/journals/show_issue.php?issn=1463-9963&vol=13&iss=4
dcterms:description
We consider a system which describes the behavior of a binary mixture of immiscible incompressible fluids with shear dependent viscosity by means of the diffuse interface approach. This system consists of Navier-Stokes type equations, characterized by a nonlinear stress-strain law, which are nonlinearly coupled with a convective Cahn-Hilliard equation for the order parameter. We analyze the corresponding dynamical system and, by means of the short trajectory method, we prove the existence of global and exponential attractors. We also discuss the dependence of an upper bound of the fractal dimension in terms of the physical parameters of the system. We consider a system which describes the behavior of a binary mixture of immiscible incompressible fluids with shear dependent viscosity by means of the diffuse interface approach. This system consists of Navier-Stokes type equations, characterized by a nonlinear stress-strain law, which are nonlinearly coupled with a convective Cahn-Hilliard equation for the order parameter. We analyze the corresponding dynamical system and, by means of the short trajectory method, we prove the existence of global and exponential attractors. We also discuss the dependence of an upper bound of the fractal dimension in terms of the physical parameters of the system.
dcterms:title
Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity
skos:prefLabel
Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity
skos:notation
RIV/00216208:11320/11:10104787!RIV12-GA0-11320___
n11:predkladatel
n12:orjk%3A11320
n3:aktivita
n5:Z n5:P
n3:aktivity
P(GA201/08/0315), Z(MSM0021620839)
n3:cisloPeriodika
4
n3:dodaniDat
n22:2012
n3:domaciTvurceVysledku
n16:1528904
n3:druhVysledku
n19:J
n3:duvernostUdaju
n20:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
209960
n3:idVysledku
RIV/00216208:11320/11:10104787
n3:jazykVysledku
n15:eng
n3:klicovaSlova
exponential attractors; Cahn-Hilliard equations; binary mixtures; incompressible viscous fluids
n3:klicoveSlovo
n4:binary%20mixtures n4:incompressible%20viscous%20fluids n4:Cahn-Hilliard%20equations n4:exponential%20attractors
n3:kodStatuVydavatele
CH - Švýcarská konfederace
n3:kontrolniKodProRIV
[C1E97A5585D1]
n3:nazevZdroje
Interfaces and Free Boundaries
n3:obor
n21:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n7:GA201%2F08%2F0315
n3:rokUplatneniVysledku
n22:2011
n3:svazekPeriodika
13
n3:tvurceVysledku
Grasselli, Maurizio Pražák, Dalibor
n3:zamer
n18:MSM0021620839
s:issn
1463-9963
s:numberOfPages
24
n9:doi
10.4171/IFB/270
n10:organizacniJednotka
11320