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

0505200 - MÚ 2020 RIV HR eng J - Článek v odborném periodiku
Al Baba, Hind - Amrouche, Ch.
Stokes and Navier-Stokes problems with Navier-type boundary condition in Lp-spaces.
Differential Equations & Applications. Roč. 11, č. 2 (2019), s. 203-226. ISSN 1847-120X
Grant CEP: GA ČR GA16-03230S
Institucionální podpora: RVO:67985840
Klíčová slova: Stokes and Navier-Stokes Problem * Navier-type boundary conditions
Obor OECD: Pure mathematics
Způsob publikování: Open access
http://dx.doi.org/10.7153/dea-2019-11-08

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.
Trvalý link: http://hdl.handle.net/11104/0296695