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  • 建校70周年文峰云论坛——数理基础与前沿研究论坛:Stability of peakons of the shallow water modeling with cubic nonlinearity


     

    报告题目: Stability of peakons of the shallow water modeling with cubic nonlinearity

    报告人:Yue Liu 教授(美国德克萨斯大学阿灵顿分校数学系)

    报告时间:2020510日(星期日)上午 9:30-11:00

    报告方式Zoom会议平台

    链接直接加入会议:https://cernet.zoom.com.cn/j/67764344031?pwd=S1FtTnVDc0VRVG1BMzhRbFAzTWN4QT09

    会议 ID677 6434 4031    密码:837916
    报告摘要:

    In this talk, I will start by demonstrating the underlying complexity of the physical system, and then I will discuss possible simplifications in the "shallow water" regime along with the relevant physical phenomena. In particular, I will derive some simplified nonlocal shallow-water models with cubic nonlinearity, such as integrable Novikov and Modified Camassa-Holm-type equations. It is shown these approximating model equations possess a single peaked soliton and multi-peakon solutions. Finally I will prove the single peaked soliton is orbitally stable in the energy space.
    报告人简介:

    Yue Liu,美国德克萨斯大学阿灵顿分校数学系教授,1994年博士毕业于美国布朗大学数学系,师从国际著名数学家Walter Strauss教授,其研究兴趣在非线性波解的适定性、稳定性、长时间性态以及数值计算等,是国际上偏微分方程研究尤其是浅水波领域的一流专家,目前已在CPAM, CMP, ARMA, Adv. Math, J. Reine Angew.Math., JMPA, Math.Ann.,Math.Z., JFA, CPDE, TAMS, Nonlinearity JDE等国际著名刊物上发表论文90余篇,是国际上非线性发展方程理论研究领域的权威专家学者。

     

    欢迎全校师生参会!

                                                                    重庆邮电大学理学院

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