Modeling of the unsteady flow through a channel with an artificial outflow condition by the Navier-Stokes variational inequality

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00492103" target="_blank" >RIV/67985840:_____/18:00492103 - isvavai.cz</a>
Nalezeny alternativní kódy
RIV/68407700:21220/18:00330238
Výsledek na webu
<a href="http://dx.doi.org/10.1002/mana.201700228" target="_blank" >http://dx.doi.org/10.1002/mana.201700228</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201700228" target="_blank" >10.1002/mana.201700228</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Modeling of the unsteady flow through a channel with an artificial outflow condition by the Navier-Stokes variational inequality
Popis výsledku v původním jazyce
We prove the global in time existence of a weak solution to the variational inequality of the Navier-Stokes type, simulating the unsteady flow of a viscous fluid through the channel, with the so-called 'do nothing' boundary condition on the outflow. The condition that the solution lies in a certain given, however arbitrarily large, convex set and the use of the variational inequality enables us to derive an energy-type estimate of the solution. We also discuss the use of a series of other possible outflow 'do nothing' boundary conditions.
Název v anglickém jazyce
Modeling of the unsteady flow through a channel with an artificial outflow condition by the Navier-Stokes variational inequality
Popis výsledku anglicky
We prove the global in time existence of a weak solution to the variational inequality of the Navier-Stokes type, simulating the unsteady flow of a viscous fluid through the channel, with the so-called 'do nothing' boundary condition on the outflow. The condition that the solution lies in a certain given, however arbitrarily large, convex set and the use of the variational inequality enables us to derive an energy-type estimate of the solution. We also discuss the use of a series of other possible outflow 'do nothing' boundary conditions.

Projekt
<a href="/cs/project/GA16-03230S" target="_blank" >GA16-03230S: Termodynamicky konzistentni modely pro proudění tekutin: matematická teorie a numerické řešení</a><br>
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2018
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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