A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84187

Title:	A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion
Authors:	GIGA, YOSHIKAZU Browse this author
	Hsu, Pen-Yuan Browse this author
	Maekawa, Yasunori Browse this author
Issue Date:	28-Oct-2013
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1043
Start Page:	1
End Page:	28
Abstract:	We establish a Liouville type result for a backward global solution to the Navier- Stokes equations in the half plane with the no-slip boundary condition. No assump- tions on spatial decay for the vorticity nor the velocity eld are imposed. We study the vorticity equations instead of the original Navier-Stokes equations. As an appli- cation, we extend the geometric regularity criterion for the Navier-Stokes equations in the three-dimensional half space under the no-slip boundary condition.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69847
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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