Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions

0502148 - MÚ 2019 RIV DE eng J - Článek v odborném periodiku
Al Baba, Hind
Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions.
Advances in Nonlinear Analysis. Roč. 8, č. 1 (2019), s. 743-761. ISSN 2191-9496. E-ISSN 2191-950X
Grant CEP: GA ČR GA16-03230S
Institucionální podpora: RVO:67985840
Klíčová slova: non-homogeneous Stokes problem * slip boundary conditions * maximal regularity * complex and fractional powers of operators
Obor OECD: Pure mathematics
Impakt faktor: 2.667, rok: 2019
https://www.degruyter.com/view/j/anona.2019.8.issue-1/anona-2017-0012/anona-2017-0012.xml

We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor. This is fundamental and plays an important role in the associated parabolic problem and will be used to prove maximal L p -L q regularity results for the non-homogeneous Stokes problem.
Trvalý link: http://hdl.handle.net/11104/0294106