表題番号:2016B-142 日付:2017/04/07
研究課題Dynamics of multi-dimensional thin-film equations
研究者所属(当時) 資格 氏名
(代表者) 理工学術院 創造理工学部 准教授 ボーウェン マーク
(連携研究者) Duke University Professor T. P. Witelski
研究成果概要
We have considered self-similar sign-changing solutions to the thin-film equation on a semi-infinite domain with zero-pressure-type boundary conditions imposed at the fixed boundary.  In particular, we have identified classes of both first- and second-kind compactly supported self-similar solutions and have explained how these solutions interact as parameters vary.