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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F13%3A00205215" target="_blank" >RIV/68407700:21110/13:00205215 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/chapter/10.1007/978-1-4614-7333-6_22" target="_blank" >http://link.springer.com/chapter/10.1007/978-1-4614-7333-6_22</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-1-4614-7333-6_22" target="_blank" >10.1007/978-1-4614-7333-6_22</a>

Result language
angličtina
Original language name
Strong Solutions to Buoyancy-driven Flows in Channel-like Bounded Domains
Original language 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 sufficie
Czech name
—
Czech description
—

Project
<a href="/en/project/GPP201%2F10%2FP396" target="_blank" >GPP201/10/P396: Solutions to some mathematical models of thermo-mechanics of viscous incompressible fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Differential and Difference Equations with Applications
ISBN
978-1-4614-7333-6
ISSN
2194-1009
e-ISSN
—
Number of pages
9
Pages from-to
283-291
Publisher name
Springer
Place of publication
New York
Event location
Ponta Delgada
Event date
Jul 4, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000347149500022

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