On buoyancy-driven viscous incompressible flows with various types of boundary conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F23%3A00368497" target="_blank" >RIV/68407700:21110/23:00368497 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/zamm.202200529" target="_blank" >https://doi.org/10.1002/zamm.202200529</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.202200529" target="_blank" >10.1002/zamm.202200529</a>

Result language
angličtina
Original language name
On buoyancy-driven viscous incompressible flows with various types of boundary conditions
Original language description
In this paper, we study the existence and uniqueness of solutions to the initial-boundary-value problem for time-dependent flows of heat-conducting incompressible fluids through the two-dimensional channel. The boundary conditions are of two types: the so-called "do nothing" boundary condition on the outflow and the so-called Navier boundary conditions on the solid walls of the channel. A priori estimates play a crucial role in existential analysis, however, the considered mixed boundary conditions do not enable us to derive an energy-type estimate of the solution. Our aim is to prove the existence and uniqueness of a solution on a sufficiently short time interval for arbitrarily large data.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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