Existence and structure of steady solutions of the Bénard problem in a two dimensional quadrangular cavity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00444159" target="_blank" >RIV/67985840:_____/15:00444159 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.na.2015.03.024" target="_blank" >http://dx.doi.org/10.1016/j.na.2015.03.024</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2015.03.024" target="_blank" >10.1016/j.na.2015.03.024</a>

Result language
angličtina
Original language name
Existence and structure of steady solutions of the Bénard problem in a two dimensional quadrangular cavity
Original language description
We prove the existence of a strong-weak solution (u,p,T) (= velocity, pressure, temperature) of the steady Benard problem in a 2D quadrangular cavity, heated/cooled on two opposite sides and thermally insulated on the other sides. Applying the tools of nonlinear analysis, we study the structure of the set of solutions in dependence on the acting volume force and on the given temperature profiles on the heated/cooled sides. Particularly, in the case when the cavity has the form of a trapezoid, we also study the structure of the solution set in dependence on the angle of inclination from the horizontal-vertical position.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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