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

内容简介：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.

报告人：台湾静宜大学财务与计算数学系  袁淵明  教授

报告人简介：袁淵明，台湾静宜大学财务与计算数学系教授，博士毕业于美国德州大学，从事非线性波方程等方面的研究，在Physica D,Discrete and Continuous Dynamical Systems-A等期刊上发表学术论文22篇，主持科研项目10项，曾获得台湾国科会优秀人才奖等。

时  间：2016年6月8日（周三）下午4：00始

地  点：南海楼224室（数学系会议室）

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信息科学技术学院/网络空间安全学院

2016年6月7日