Stokes and Navier-Stokes problems with Navier-type boundary condition in Lp-spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00505200" target="_blank" >RIV/67985840:_____/19:00505200 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.7153/dea-2019-11-08" target="_blank" >http://dx.doi.org/10.7153/dea-2019-11-08</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7153/dea-2019-11-08" target="_blank" >10.7153/dea-2019-11-08</a>

Result language
angličtina
Original language name
Stokes and Navier-Stokes problems with Navier-type boundary condition in Lp-spaces
Original language description
Using the semigroup theory for the Stokes equation with Navier type boundary conditions developed in [2, 3], we first prove the maximal L-p - L-q regularity for the strong, weak and very weak solutions of the inhomogeneous Stokes problem with Navier-type boundary conditions in a bounded domain Omega, not necessarily simply connected. We also prove the existence of a unique local in time classical solution to the Navier Stokes problem with Navier-type boundary conditions and show that it is global in time for small initial 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
10101 - Pure mathematics

Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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