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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F13%3A00205215%21RIV15-GA0-21110___
rdf:type
n7:Vysledek skos:Concept
rdfs:seeAlso
http://link.springer.com/chapter/10.1007/978-1-4614-7333-6_22
dcterms:description
We consider a boundary-value problem for steady flows of viscous incompressible heat-conducting fluids in channel-like bounded domains. The fluid flow is governed by balance equations for linear momentum, mass and internal energy. The internal energy balance equation of this system takes into account the phenomena of the viscous energy dissipation and includes the adiabatic heat effects. The system of governing equations is provided by suitable mixed boundary conditions modeling the behavior of the fluid on fixed walls and open parts of the channel. Due to the fact that some uncontrolled ``backward flow'' can take place at the outlets of the channel, there is no control of the convective terms in balance equations for linear momentum and internal energy and, consequently, one is not able to prove energy type estimates. This makes the qualitative analysis of this problem more difficult. In this paper, the existence of the strong solution is proven by a fixed-point technique for sufficiently small external forces. We consider a boundary-value problem for steady flows of viscous incompressible heat-conducting fluids in channel-like bounded domains. The fluid flow is governed by balance equations for linear momentum, mass and internal energy. The internal energy balance equation of this system takes into account the phenomena of the viscous energy dissipation and includes the adiabatic heat effects. The system of governing equations is provided by suitable mixed boundary conditions modeling the behavior of the fluid on fixed walls and open parts of the channel. Due to the fact that some uncontrolled ``backward flow'' can take place at the outlets of the channel, there is no control of the convective terms in balance equations for linear momentum and internal energy and, consequently, one is not able to prove energy type estimates. This makes the qualitative analysis of this problem more difficult. In this paper, the existence of the strong solution is proven by a fixed-point technique for sufficiently small external forces.
dcterms:title
Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains
skos:prefLabel
Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains
skos:notation
RIV/68407700:21110/13:00205215!RIV15-GA0-21110___
n5:aktivita
n22:P
n5:aktivity
P(GPP201/10/P396)
n5:dodaniDat
n15:2015
n5:domaciTvurceVysledku
n6:3110621
n5:druhVysledku
n17:D
n5:duvernostUdaju
n8:S
n5:entitaPredkladatele
n11:predkladatel
n5:idSjednocenehoVysledku
108291
n5:idVysledku
RIV/68407700:21110/13:00205215
n5:jazykVysledku
n19:eng
n5:klicovaSlova
Newtonian fluids; heat transfer; elliptic systems with strong nonlinearities; mixed boundary conditions; qualitative properties
n5:klicoveSlovo
n10:heat%20transfer n10:Newtonian%20fluids n10:qualitative%20properties n10:elliptic%20systems%20with%20strong%20nonlinearities n10:mixed%20boundary%20conditions
n5:kontrolniKodProRIV
[3B45B9333889]
n5:mistoKonaniAkce
Ponta Delgada
n5:mistoVydani
New York
n5:nazevZdroje
Differential and Difference Equations with Applications
n5:obor
n13:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
1
n5:projekt
n16:GPP201%2F10%2FP396
n5:rokUplatneniVysledku
n15:2013
n5:tvurceVysledku
Beneš, Michal
n5:typAkce
n23:WRD
n5:wos
000347149500022
n5:zahajeniAkce
2011-07-04+02:00
s:issn
2194-1009
s:numberOfPages
9
n12:doi
10.1007/978-1-4614-7333-6_22
n3:hasPublisher
Springer-Verlag
n20:isbn
978-1-4614-7333-6
n18:organizacniJednotka
21110