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

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84099

Title: ON A BOUND FOR AMPLITUDES OF NAVIER-STOKES FLOW WITH ALMOST PERIODIC INITIAL DATA
Authors: Giga, Yoshikazu Browse this author
Mahalov, Alex Browse this author
Yoneda, Tsuyoshi Browse this author
Keywords: Navier-Stokes equations
almost periodic initial data
frequency sets and amplitudes
Issue Date: 8-Dec-2009
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 952
Start Page: 1
End Page: 10
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69759
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

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