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Hokkaido University Preprint Series in Mathematics >
The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data
| Title: | The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data |
| Authors: | Giga, Yoshikazu Browse this author | | Mahalov, Alex Browse this author | | Nicolaenko, Basil Browse this author |
| Keywords: | Navier-Stokes equations | | spatially almost periodic solutions | | the Cauchy problem |
| Issue Date: | 2004 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 683 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | A unique classical solution of the Cauchy problem for the Navier-Stokes equa- tions is considered when the initial velocity is spatially almost periodic. It is shown that the solution is always spatially almost periodic at any time provided that the solution exists. No restriction on the space dimension is imposed. This fact follows from continuous dependence of the solution with respect to initial data in uniform topology. Similar result is also established for Cauchy problem of the three- dimensional Navier-Stokes equations in a rotating frame. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69488 |
| 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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