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

GIGA, YOSHIKAZU; Mitake, Hiroyoshi; TRAN, HUNG

Hokkaido University Preprint Series in Mathematics, 2015, 1084, 1-29

Permalink : https://doi.org/10.14943/84228

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DOI	https://doi.org/10.14943/84228
URI	https://hdl.handle.net/2115/69888
タイトル	ON ASYMPTOTIC SPEED OF SOLUTIONS TO LEVEL-SET MEAN CURVATURE FLOW EQUATIONS WITH DRIVING AND SOURCE TERMS
著者	GIGA, YOSHIKAZU ; Mitake, Hiroyoshi ; TRAN, HUNG
著者名 GIGA, YOSHIKAZU
著者名 Mitake, Hiroyoshi
著者名 TRAN, HUNG
言語	英語
発行日	2015-12-16
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1084
ページ	1-29
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record