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

Author

Al Baba Hind

Subjects
non-homogeneous stokes problem, slip boundary conditions, maximal regularity, complex and fractional powers of operators, 35b65, 35d30, 35d35, 35k20, 35q30, 76d05, 76d07, 76n10, Analysis, QA299.6-433
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 LpL^{p}-LqL^{q} regularity results for the non-homogeneous Stokes problem.

Published
2017
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5. Maximal Lp-Lq regularity to the Stokes problem with Navier boundary conditions.

Author

Al Baba, Hind

Subjects
*NAVIER-Stokes equations, *EQUATIONS in fluid mechanics, *BOUNDARY value problems, *NUMERICAL analysis, *MATHEMATICAL analysis
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 Lp- Lq regularity results for the non-homogeneous Stokes problem. [ABSTRACT FROM AUTHOR]

Published
2019
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