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

0497142 - MÚ 2019 RIV CH eng J - Journal Article
Medková, Dagmar
L^q solution of the Robin problem for the Stokes system with Coriolis force.
Journal of Mathematical Fluid Mechanics. Roč. 20, č. 4 (2018), s. 1589-1616. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR(CZ) GA17-01747S
Institutional support: RVO:67985840
Keywords : Dirichlet problem * Layer potential operators * Neumann problem * Stokes system with Coriolis term
OECD category: Pure mathematics
Impact factor: 1.532, year: 2018
https://link.springer.com/article/10.1007/s00021-018-0380-7

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.
Permanent Link: http://hdl.handle.net/11104/0289729