The Navier-Stokes equations with initial data in uniformly local L p spaces


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83891

Title:	The Navier-Stokes equations with initial data in uniformly local L p spaces
Authors:	Maekawa, Yasunori Browse this author
Authors:	Terasawa, Yutaka Browse this author
Issue Date:	2005
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	741
Start Page:	1
End Page:	32
Abstract:	We construct the local mild solutions of the Cauchy problem for the incompressible homogeneous Navier-Stokes equations in the $d$-dimensional Eucledian space with initial data in uniformly local $ L^{p} $ (=$ L^{p}_{uloc}) spaces where $ p $ is larger than or equal to $d$. As an application, we show that the mild solution associated with $ L^{d}_{uloc} $ almost periodic initial data at time zero becomes uniformly local almost periodic (=$ L^{\infty}-almost periodic ) in any positive time.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69549
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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