ON A BOUND FOR AMPLITUDES OF NAVIER-STOKES FLOW WITH ALMOST PERIODIC INITIAL DATA

Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi

Hokkaido University Preprint Series in Mathematics, 2009, 952, 1-10

Permalink : https://doi.org/10.14943/84099

このアイテムのアクセス数:829件（2026-08-13 07:04 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re952	pdf	200 KB	671

アクセス権	open access
DOI	https://doi.org/10.14943/84099
URI	https://hdl.handle.net/2115/69759
タイトル	ON A BOUND FOR AMPLITUDES OF NAVIER-STOKES FLOW WITH ALMOST PERIODIC INITIAL DATA
著者	Giga, Yoshikazu ; Mahalov, Alex ; Yoneda, Tsuyoshi
著者名 Giga, Yoshikazu
著者名 Mahalov, Alex
著者名 Yoneda, Tsuyoshi
言語	英語
キーワード	Navier-Stokes equations
	almost periodic initial data
	frequency sets and amplitudes
発行日	2009-12-08
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	952
ページ	1-10
抄録	For any bounded (real) initial data it is known that there is a unique global solution to the two dimensional Navier-Stokes equations. This paper is concerned with a bound for the sum of the modulus of amplitudes when initial velocity is spatially almost periodic in 2D. In the case of general dimension, it is bounded on local time of existence shown by Giga, Inui, Mahalov and Matsui in 2005. A class of initial data is given such that the sum of the modulus of amplitudes of a solution is bounded on any nite time interval. It is shown by an explicit example that such a bound may diverge to in nity as the time goes to in nity at least for complex initial data.
資源タイプ	紀要論文
出版タイプ	Version of Record