AN ENERGETIC VARIATIONAL APPROACH FOR NONLINEAR DIFFUSION EQUATIONS IN MOVING THIN DOMAINS

MIURA, TATSU-HIKO; GIGA, YOSHIKAZU; Liu, Chun

Hokkaido University Preprint Series in Mathematics, 2017, 1101, 1-21

Permalink : https://doi.org/10.14943/84245

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DOI	https://doi.org/10.14943/84245
URI	https://hdl.handle.net/2115/69905
タイトル	AN ENERGETIC VARIATIONAL APPROACH FOR NONLINEAR DIFFUSION EQUATIONS IN MOVING THIN DOMAINS
著者	MIURA, TATSU-HIKO ; GIGA, YOSHIKAZU ; Liu, Chun
著者名 MIURA, TATSU-HIKO
著者名 GIGA, YOSHIKAZU
著者名 Liu, Chun
言語	英語
発行日	2017-06-12
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1101
ページ	1-21
抄録	This paper concerns the processes of nonlinear di usion in a mov- ing domain which lies on a moving closed surface. The nonlinear di usion equations and corresponding energy identities are derived by regarding the moving surface as a thin width (thickness) limit of moving thin domains, for which suitable boundary conditions are imposed to insure that there is no exchange of mass between the thin domains and the environments. We also employ an energetic variational approach to derive these nonlinear di usion equations. Most of all, we show that these nonlinear energetic variational procedures can commute with the passing to the zero width limits.
資源タイプ	紀要論文
出版タイプ	Version of Record