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Global solvabiliy of the Navier-Stokes equations in spaces based on sum-closed frequency sets
| Title: | Global solvabiliy of the Navier-Stokes equations in spaces based on sum-closed frequency sets |
| Authors: | Giga, Yoshikazu Browse this author | | Inui, Katsuya Browse this author | | Mahalov, Alex Browse this author | | Saal, Jürgen Browse this author |
| Keywords: | Navier-Stokes equations with rotation | | global wellposedness |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 795 |
| Start Page: | 1 |
| End Page: | 18 |
| Abstract: | We prove existence of global regular solutions for the 3D Navier-Stokes quations with (or without) Coriolis force for a class of initial data u0 in he space FM¾;± , i.e. for functions whose Fourier image bu0 is a vector-valued adon measure and that are supported in sum-closed frequency sets with istance ± from the origin. In our main result we establish an upper bound or admissible initial data in terms of the Reynolds number, uniform on the oriolis parameter . In particular this means that this upper bound is inearly growing in ±. This implies that we obtain global in time regular olutions for large (in norm) initial data u0 which may not decay at space nfinity, provided that the distance ± of the sum-closed frequency set from he origin is sufficiently large. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69603 |
| 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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