題  目：Existence and orbital stability of solitary-wave solutions for higher-order BBM equations

内容簡介：We study the existence and stability of solitary-wave solutions of a general higher-order Benjamin-Bona-Mahony (BBM) equation, which involves pseudo-differential operators for the linear part. One of such equations can be derived from water-wave problems as the second-order approximate equations from fully nonlinear governing equations. Under certain conditions on the symbols of pseudo-differential operators and the nonlinear terms, it is shown that the general higher-order BBM equation has solitary-wave solutions. Moreover, under slightly more restrictive conditions, the set of solitary-wave solutions is orbitally stable. Here, the equation has a nonlinear part involving polynomials of the solution and its derivatives with different degrees (i.e., not homogenous), which has not been discussed before.

報告人：台灣靜宜大學财務與計算數學系  袁淵明  教授

報告人簡介：袁淵明，台灣靜宜大學财務與計算數學系教授，博士畢業于美國德州大學，從事非線性波方程等方面的研究，在Physica D,Discrete and Continuous Dynamical Systems-A等期刊上發表學術論文22篇，主持科研項目10項，曾獲得台灣國科會優秀人才獎等。

時  間：2016年6月8日（周三）下午4：00始

地  點：南海樓224室（數學系會議室）

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