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On analyticity rate estimates of the solutions to the Navier-Stokes equations in Bessel-potential spaces
| Title: | On analyticity rate estimates of the solutions to the Navier-Stokes equations in Bessel-potential spaces |
| Authors: | Sawada, O. Browse this author |
| Keywords: | Navier-Stokes equations | | spatial analyticity | | regularizing-decay rate | | Gronwall inequality |
| Issue Date: | Mar-2003 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 589 |
| Start Page: | 1 |
| End Page: | 13 |
| Abstract: | The locally-in-time solutions to the Navier-Stokes equations in H%-1(Rn ) are regular for t > 0. The spatial analyticity is established by deriving rate estimates of higher order derivatives of the solutions. The solutions or the initial velocities need not be small. The estimates also provide the decay estimate on derivatives for large time. Although the basic strategy to derive estimates is similar to our previous results with Y. Giga for Ln space, we are forced to apply several tools from harmonic analysis since our space 1{%-1 is more complicated. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69338 |
| 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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