关于举行郑州大学杨志坚教授和广州大学尚亚东教授学术报告会的通知

报告题目1：Global attractor for a strongly damped wave equation with fully supercritical nonlinearities
报 告 人：杨志坚  教授 （郑州大学）
报告时间：2017年07月06日（星期四）下午15:30-16:30
报告题目2：Orbital stability of periodic traveling wave solutions to the  generalized zakharov equations
报 告 人：尚亚东  教授 （广州大学）
报告时间：2017年07月06日（星期四）下午16:30-17:30
报告地点：4号楼4224室

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                                                                      数学学院
                                                                   2017年07月05日
报告1摘要：
In this talk, we are concerned with the existence of global attractor for a strongly damped wave equation with fully supercritical nonlinearities

In the case when the nonlinearities   and  are of fully supercritical growth, which leads to that the weak solutions of the equation lose their uniqueness, by introducing the notion of limit solutions and using the theory on the attractor of the generalized semiflow, we establish the existence of global attractor for the subclass of limit solutions of the equation in natural energy space in the sense of strong topology.
报告2摘要：
This paper investigates the orbital stability of periodic traveling wave solutions to the generalized Zakharov equations

First, we prove the existence of a smooth curve of positive traveling wave solutions of dnoidal type with a fixed fundamental period L for the generalized Zakharov equations. Then, by using the classical method proposed by Benjamin, Bona et al., we show that this solution is orbitally stable by perturbations with period L. The results on the orbital stability of periodic traveling wave solutions for the generalized Zakharov equations in this paper can be regarded as a perfect extension of the results of [15, 16, 19].