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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GPP201%2F10%2FP396" target="_blank" >GPP201/10/P396: Řešení některých matematických modelů termo-mechaniky vazkých nestlačitelných tekutin</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Differential and Difference Equations with Applications

ISBN

978-1-4614-7333-6

ISSN

2194-1009

e-ISSN

—

Počet stran výsledku

9

Strana od-do

283-291

Název nakladatele

Springer

Místo vydání

New York

Místo konání akce

Ponta Delgada

Datum konání akce

4. 7. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000347149500022