Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Stokes and Navier-Stokes equations with Robin boundary conditions in a half-space
Title: | Stokes and Navier-Stokes equations with Robin boundary conditions in a half-space |
Authors: | Saal, Juergen Browse this author |
Issue Date: | 2004 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 633 |
Start Page: | 1 |
End Page: | 29 |
Abstract: | We study the initial-boundary value problem for the Stokes equations with Robin boundary conditions in the half-space Rn+. It is proved that the associated Stokes operator is sectorial and admits a bounded H∞-calculus on Lq0(Rn+). As an application we prove also a local existence result for the nonlinear initial value problem of the Navier-Stokes equations with Robin boundary conditions. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69440 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|