Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84073

Title:	Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data
Authors:	Giga, Yoshikazu Browse this author
	Inui, Katsuya Browse this author
	Mahalov, Alex Browse this author
	Saal, Jurgen Browse this author
Keywords:	Navier-Stokes equations
	Coriolis force
	global solutions
	Radon measures
	almost periodic initial data
Issue Date:	Sep-2008
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	924
Start Page:	1
End Page:	17
Abstract:	We establish a global existence result for the rotating Navier-Stokes equations with ondecaying initial data in a critical space which includes a large class of almost periodic unctions. The scaling invariant function space we introduce is given as the divergence of the pace of 3×3 fields of Fourier transformed finite Radon measures. The smallness condition n initial data for global existence is explicitly given in terms of the Reynolds number. The ondition is independent of the size of the angular velocity of rotation.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69731
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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