学术报告-吴雅萍

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2020-01-10 15:18:00

学术报告


题      目:The Stability of Traveling Waves for Autocatalytic Reaction Systems with or without Decay



报  告  人:吴雅萍   教授  (邀请人:丁维维 )

                                  首都师范大学




时      间:2020-01-10 14:30--15:20


地      点:学院401


报告人简介:

        吴雅萍,首都师范大学yabo亚搏下载教授、博士生导师。于1990年获北京理工大学博士学位。1990年9月至1997年3月在北京应用物理与计算数学研究所从事应用数学的研究工作。1997年至今在首都师范大学数学系从事教学科研工作,1998年任教授, 2001年任博士生导师,2001年为享受政府特殊津贴的专家。多年来主要从事非线性偏微分方程的理论研究工作, 在对多种类型的反应扩散方程组解的定性研究,哈密顿系统的孤立波及抛物双曲耦合方程的行波解的稳定性研究方面取得一系列创新性的研究成果,作为第一负责人先后主持了多项国家及省部级科研项目。

摘      要:

       This talk we shall first give a survey of some known results on the existence and stability of planar wave solutions for some autocatalytic chemical reaction systems without or with decay, where the waves for some models may decay non-exponentially in space, for such case some standard stability arguments based on sub-supper solution method, energy method or the standard spectral analysis can’t be applied directly . I shall talk about our recent works on the linear and nonlinear asymptotic stability of the waves with non-exponentially spatial decay for some types of autocatalytic chemical reaction models in some appropriate weighted spaces, our work are based on the application of the generalized Evans function theories and the detailed spectral analysis as well as some numerical simulation. The talk is based on joint work with Prof. Yi Li and Dr. Niannian Yan.





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