ON ASYMPTOTIC SPEED OF SOLUTIONS TO LEVEL-SET MEAN CURVATURE FLOW EQUATIONS WITH DRIVING AND SOURCE TERMS


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84228

Title:	ON ASYMPTOTIC SPEED OF SOLUTIONS TO LEVEL-SET MEAN CURVATURE FLOW EQUATIONS WITH DRIVING AND SOURCE TERMS
Authors:	GIGA, YOSHIKAZU Browse this author
	Mitake, Hiroyoshi Browse this author
	TRAN, HUNG Browse this author
Issue Date:	16-Dec-2015
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1084
Start Page:	1
End Page:	29
Abstract:	We investigate a model equation in the crystal growth, which is described by a level-set mean curvature ow equation with driving and source terms. We establish the well-posedness of solutions, and study the asymptotic speed. Interestingly, a new type of nonlinear phenomena in terms of asymptotic speed of solutions appears, which is very sensitive to the shapes of source terms.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69888
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

OAI-PMH ( junii2 , jpcoar_1.0 )

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