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On the Stokes resolvent estimates for cylindrical domains
| Title: | On the Stokes resolvent estimates for cylindrical domains |
| Authors: | Abe, Ken Browse this author | | GIGA, YOSHIKAZU Browse this author | | Schade, K. Browse this author | | Suzuki, Takuya Browse this author |
| Keywords: | L∞-type resolvent estimates | | cylindrical domain | | Stokes equations,admissible domain. |
| Issue Date: | 25-Nov-2015 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1081 |
| Start Page: | 2 |
| End Page: | 33 |
| Abstract: | This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally a cylindrical domain with several exits to infinity in the space C0; , the L 1 -closure of all smooth compactly supported solenoidal vector fields. These domains are not strictly admissible in the sense of the first two authors (2014). However, it is shown that these domains are still admissible which yields the analyticity in C0; . A new proof based on a blow-up argument is given to derive an L 1 -type resolvent estimate which enables us to conclude that the analyticity angle of the Stokes semigroup in C0; is =2. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69885 |
| 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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