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Hokkaido University Preprint Series in Mathematics >
regularizing-decay rate estmates for solutions to the Navier-Stokes initial value problem
| Title: | regularizing-decay rate estmates for solutions to the Navier-Stokes initial value problem |
| Authors: | Giga, Y. Browse this author | | Sawada, O. Browse this author |
| Keywords: | Kavier-Stokes equations | | mild solution | | regularizing-decay rate | | spatial analyticity | | Gronwall inequality |
| Issue Date: | Nov-2002 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 567 |
| Start Page: | 2 |
| End Page: | 12 |
| Abstract: | It is known that an Ln-valued continuous solution in time interval (0, T) of the Kavier-Stokes equations in Rn is regular for positive time. In this paper regularizing rate estimates similar to a solution of the heat equation arc established. The estimates also provide analyticity in space variables as well as decay estimates on derivatives for large time. The solutions need not be small. Our results are obtained by estimating the integral equation with a new version of the Gronwall type inequality originally obtained in [2]. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69316 |
| 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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