About: Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://link.springer.com/chapter/10.1007/978-1-4614-7333-6_22
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. (en)
Title	Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains (en)
skos:prefLabel	Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains (en)
skos:notation	RIV/68407700:21110/13:00205215!RIV15-GA0-21110___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GPP201/10/P396)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Beneš, Michal
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	108291
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/13:00205215
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Newtonian fluids; heat transfer; elliptic systems with strong nonlinearities; mixed boundary conditions; qualitative properties (en)
http://linked.open.../riv/klicoveSlovo	elliptic systems with strong nonlinearities qualitative properties heat transfer mixed boundary conditions Newtonian fluids
http://linked.open...ontrolniKodProRIV	[3B45B9333889]
http://linked.open...v/mistoKonaniAkce	Ponta Delgada
http://linked.open...i/riv/mistoVydani	New York
http://linked.open...i/riv/nazevZdroje	Differential and Difference Equations with Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Solutions to some mathematical models of thermo-mechanics of viscous incompressible fluids
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Beneš, Michal
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000347149500022
http://linked.open.../riv/zahajeniAkce	2011-07-04 (xsd:date)
issn	2194-1009
number of pages	9 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-1-4614-7333-6_22
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-1-4614-7333-6
http://localhost/t...ganizacniJednotka	21110

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