2014年中吴学者论坛之五—非线性偏微分方程的解及其性质

  间:1230(星期二)14:00-1530

  点:11-302(数理学院会议室)

主讲人1:江波,男,博士,副教授,主要研究方向为非线性动力系统。主持国家自然科学基金青年基金项目1项,参与国家自然基金项目2项,发表SCI索引论文11篇。2010年被列为太阳集团成登录网址青蓝工程优秀青年骨干教师培养对象。曾担任杂志《Nonlinear analysis》、《Applied mathematics and computations》等SCI源刊的审稿人。

主讲人2:孟凤娟,女,博士,讲师,研究方向为非线性泛函分析与无穷维动力系统。主持和参与国家自然科学基金2项、太阳集团成登录网址研究生科研创新计划项目1项,南京大学研究生科研创新项目1项,市厅级科研项目3项。在《Discrete Continuous Dynamical Systems》、《Applied Mathematics Letters 》、《Nonlinear Analysis》等刊物上发表论文10余篇,其中SCI论文5篇。

 

  容:       

As one of prominent relatively simple mathematical models describing the propagation of long nonlinear water waves in various nonlinear shallow water systems, Green-Naghdi mode (shortly called GN model) attracted much attention. In recent years, there has been increasing interest in the derivation and justification of GN model because it has wide applications in coastal oceanography. The bi-Hamiltonian structure, linear stability of smooth solitary waves and traveling wave solutions are investigated by many authors. In this report, we will introduce our recent advance for the existence and classification of weak traveling wave solutions of GN model.

Infinite dimensional dynamical system is a branch of nonlinear science, and the longtime behavior of dissipative evolutionary equation is an important research object of infinite dimensional dynamical system. In this report, we will introduce the theory of infinite dimension systems firstly, then give some results about the existence and property of the global attractor for dissipative evolutionary equation.

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                               2014年12月26

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