报告题目：Approximate Solutions to the Korteweg-de

Vries-Burgers Equation

报告人：冯兆生, 教授，University of Texas-Pan American

时  间：2014年12月11日    下午3:00―4:00

地  点：东区管理科研楼  数学科学学院1518室

内容提要：

In this talk, we mainly consider the approximate solutions to the Korteweg-de Vries-Burgers equation. We provide a connection between the Abel equation of the first kind, an ordinary differential equation that is cubic in the unknown function, and the Korteweg-de Vries-Burgersequation, a partial differential equation that describes the propagation of waves on liquid-filled elastic tubes. We present an integral form of the Abel equation with the initial condition. By virtue of the integral form and the Banach Contraction Mapping Principle we derive the asymptotic expansion of bounded solutions in the Banach space, and use the asymptotic formula to construct approximate solutions to the Korteweg-de Vries-Burgers equation.

报告人简介：

冯兆生,  美国德克萨斯大学泛美分校(University of Texas-Pan American)理学院数学系教授、博导。主要研究方向有非线性微分方程, 混沌动力系统, 数学物理问题, 应用分析和生物数学等。目前在美国、英国、德国等国家的数学和物理学术刊物上共发表学术论文130 余篇, 其中被SCI/SCI-E 检索的论文近110篇。2006 曾任第五届国际动力系统及微分方程学术大会组委会主席，目前任4个国际杂志的编委。

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