Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations

DOI10.1007/s00208-018-1773-xzbMath1428.35286OpenAlexW2898943777MaRDI QIDQ2332920

David Wegmann, Hideo Kozono, Reinhard Farwig

Publication date: 5 November 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-018-1773-x

zbMATH Keywords

Navier-Stokes equationsStokes operatormaximal regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Moving boundary problems for PDEs (35R37)

Related Items (4)

Homogenization of the Stokes System in a Domain with an Oscillating Boundary ⋮ The Fujita-Kato approach for the Navier-Stokes equations with moving boundary and its application ⋮ Preface ⋮ The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary

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