演講公告

演講主題：Long-time asymptotics of integrable shallow water wave equations
主講人：張覺心博士 (臺大數學科學中心)
演講日期：2016 年3 月 15 日(星期二) 14:00 - 15:00
演講地點：(光復校區) 科學一館223 室
摘要內容：
In this talk we study the topics about integrable systems. This area has many applications in shallow and deep water waves and nonlinear special functions (the Painlevé transcendents). First we introduce some basic idea about integrable systems. For example, the inverse scattering transform which is a nonlinear version of Fourier transform. Then we focus on the problems about long-time asymptotics of integrable water wave equations. Although the analytical results of asymptotics were obtained, but how long is the time need to get well approximation between analytical and asymptotic solutions is still an open problem. We construct a specified initial condition of Camassa-Holm equation and then use numerical approaches to compare the finite difference and analytical solutions to answer the above problems.
相關檔案：Talk_1050315.doc

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