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甬江数学讲坛(2019年第 64-67 讲)
2019-12-12 08:36     (点击:)

报告题目:非线性局域波的一些进展

报 告 人:陈勇 华东师范大学,教授,博导

报告时间:2019年12月13日(星期五)8:30-9:30

报告地点:阳明学院303会议室

报告摘要:介绍我们研究团队五年来的研究领域和相关进展,其中包括对称理论、怪波、KP约化、PH问题以及程序开发等研究工作,探讨今后的发展方向。



报告题目:Blowup for Projected 2-dimensional C^2 Solutions

of Compressible Euler Equations with Coriolis Force

报 告 人:Manwai Yuen(阮文威),香港教育大学,教授

报告时间:2019年12月13日(星期五)9:30-10:30

报告地点:阳明学院303会议室

报告摘要:Compressible Euler equations with Coriolis force are the fundamental model in the study of atmospheric dynamics. In this article, we study the lifespan of the projected 2-dimensional C^2 non-vacuum solutions of the compressible Euler equations with Coriolis force. We _rst locate the vortex equations for the compressible Euler equations with Coriolis force and then use the integration method to prove that the corresponding blowup results exist for the rotational C^2.



报告题目:Propagation of short waves in ferrites with damping and inhomogeneous exchange effects

报 告 人:林机,浙江师范大学,教授

报告时间:2019年12月13日(星期五)13:30-14:30

报告地点:阳明学院507

报告摘要:We have investigated solutions of the KMM system in two cases for s=0 and s≠0) by the CTE method and the Painlevé-Bācklund transformation, for the case(s=0), the KMM system is integrable. There are many new type structures of solutions obtained., such as breather soliton, multipole instanton and rogue waves. Rogue waves have different structures including butterfly-type, X-type and Y-type ones. We also study in details the effects of Gilbert-damping and inhomogeneous exchange on the propagation of short waves in various saturated garnet ferrites.



报告题目:Integrable semi-discretizations of two generalized short pulse equations

报 告 人:冯宝峰,美国德克萨斯大学大河谷分校(UTRGV),教授

报告时间:2019年12月13日(星期五)14:30-15:30

报告地点:阳明学院507

报告摘要:Recently, Hone, Novikov and Wang have given a list of generalized short pulse equations which are integrable. Among them, three are related to the 3-reductions of BKP/CKP hierarchies. In this talk, we will focus on two generalized short pulse (gSP) equations which are not known until Hone et al.'s work. We will construct their integrable semi-discretizations based on their connections of 3-reduction of negative BKP/CKP hierarchies.

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