Fractional powers of the Stokes operator with boundary conditions involving the pressure

2019 ◽  
Vol 292 (6) ◽  
pp. 1194-1212
Author(s):  
Hind Al Baba
Keyword(s):  
Boundary Conditions ◽  
Stokes Operator ◽  
Fractional Powers

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

2017 ◽  
Vol 8 (1) ◽  
pp. 743-761 ◽  
Author(s):  
Hind Al Baba
Keyword(s):  
Boundary Conditions ◽  
Stress Tensor ◽  
Parabolic Problem ◽  
Stokes Problem ◽  
Stokes Operator ◽  
Fractional Powers ◽  
Navier Boundary Conditions ◽  
Regularity Results

Abstract 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.

Fractional powers of vector operators with first order boundary conditions

2020 ◽  
Vol 151 ◽  
pp. 103618
Author(s):  
Fabrizio Colombo ◽  
Denis Deniz González ◽  
Stefano Pinton
Keyword(s):  
Boundary Conditions ◽  
Fractional Powers ◽  
First Order

scholarly journals On Fractional Powers of the Stokes Operator

1970 ◽  
Vol 46 (10Supplement) ◽  
pp. 1141-1143
Author(s):  
Hiroshi FUJITA ◽  
Hiroko MORIMOTO
Keyword(s):  
Stokes Operator ◽  
Fractional Powers
Sign in / Sign up

Export Citation Format

Share Document