L^q solution of the Robin problem for the Stokes system with Coriolis force

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00497142" target="_blank" >RIV/67985840:_____/18:00497142 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00021-018-0380-7" target="_blank" >http://dx.doi.org/10.1007/s00021-018-0380-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-018-0380-7" target="_blank" >10.1007/s00021-018-0380-7</a>

Result language
angličtina
Original language name
L^q solution of the Robin problem for the Stokes system with Coriolis force
Original language description
We define single layer potential and double layer potential for the stationary Stokes system with Coriolis term and study properties of these potentials. Then using the integral equation method we study the Dirichlet problem, the Neumann problem and the Robin problem for the Stokes system with Coriolis term. We look for solutions of the problems such that the maximal functions of the velocity u, of the pressure p and of ∇ u are q-integrable on the boundary, and the boundary conditions are fulfilled in the sense of a non-tangential limit. As a consequence we study solutions of the Dirichlet problem for an exterior domain in the homogeneous Sobolev spaces Dk , q(Ω , R3) × Dk - 1 , q(Ω) and in weighted Besov spaces.
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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-01747S" target="_blank" >GA17-01747S: Theory and numerical analysis of coupled problems in fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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