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Hokkaido University Preprint Series in Mathematics >
Rotating Navier-Stokes Equations in ${\mathbb R}^{3}_{+}$ with Initial Data Nondecreasing at Infinity: The Ekman Boundary Layer Problem
| Title: | Rotating Navier-Stokes Equations in ${\mathbb R}^{3}_{+}$ with Initial Data Nondecreasing at Infinity: The Ekman Boundary Layer Problem |
| Authors: | Giga, Y. Browse this author | | Inui, K. Browse this author | | Mahalov, A. Browse this author | | Matsui, S. Browse this author | | Saal, J. Browse this author |
| Keywords: | boundary layer problem | | Ekman spiral | | Rotating Navier-Stokes equations | | Stokes operator | | nondecreasing initial data | | vector-valued homoge-neous Besov spaces | | Mikhlin theorem | | Riesz operators | | operator-valued bounded H1-calculus. |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 761 |
| Start Page: | 1 |
| End Page: | 49 |
| Abstract: | We prove time-local existence and uniqueness of solutions to a boundary layer roblem in a rotating frame around the stationary solution called Ekman spiral. Initial ata we choose in the vector-valued homogeneous Besov space _ B01 1; (R2;Lp(R+)) for < p < 1. Here the Lp-integrability is imposed in the normal direction, while we ay have no decay in tangential components, since the Besov space _ B01 1 contains ondecaying functions such as almost periodic functions. A crucial ingredient is theory or vector-valued homogeneous Besov spaces. For instance we provide and apply an perator-valued bounded H1-calculus for the Laplacian in _ B01 1(Rn; E) for a general anach space E. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69569 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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