Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
On the uniqueness of nondecaying solutions for the Navier-Stokes equations
Title: | On the uniqueness of nondecaying solutions for the Navier-Stokes equations |
Authors: | Kato, J. Browse this author |
Issue Date: | Aug-2002 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 560 |
Start Page: | 1 |
End Page: | 19 |
Abstract: | In this article, we obtain the uniqueness of solutions ( u, p) of the N avier-Stokes equations in the class u E L∞((0, T)×Rn), p E L1loc([0,T);BMO(Rn)) for initial data in L∞ (Rn). Although there are a few results which treats the uniqueness without decay assumption as |x| →∞([5], [15], [14]), our result gives the another characterization of condition on p. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69309 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|