The Rot-Div System in Exterior Domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10285410" target="_blank" >RIV/00216208:11320/14:10285410 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00021-014-0181-6" target="_blank" >http://dx.doi.org/10.1007/s00021-014-0181-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-014-0181-6" target="_blank" >10.1007/s00021-014-0181-6</a>

Result language
angličtina
Original language name
The Rot-Div System in Exterior Domains
Original language description
The goal of this paper is to reconsider the classical elliptic system rot v = f, div v = g in simply connected domains with bounded connected boundaries (bounded and exterior sets). The main result shows solvability of the problem in the maximal regularity regime in the L (p) -framework taking into account the optimal/minimal requirements on the smoothness of the boundary. A generalization for the Besov spaces is studied, too, for for . As a limit case we prove the result for , provided the boundary ismerely in . The dimension three is distinguished due to the physical interpretation of the system. In other words we revised and extended the classical results of Friedrichs (Commun Pure Appl Math 8;551-590, 1955) and Solonnikov (Zap Nauch Sem LOMI 21:112-158, 1971).
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
—

Project
<a href="/en/project/GAP201%2F11%2F1304" target="_blank" >GAP201/11/1304: Flow of fluids in domains with variable geometry</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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