学术活动

学术活动

名师讲座:Piecewise smooth solutions to the Burgers-Hilbert equation

主  讲  人:Prof. Alberto Bressan(Penn State University) 
时      间: 2015年6月12日(周五)10:00-12:00
地      点: 必赢76net线路官网北二区教学楼 517 教室
主 办 单 位: 必赢76net线路官网数学科学学院
内容简介:In 2009 J.Biello and J.Hunter derived a balance law for nonlinear waves with constant frequency, obtained from Burgers' equation by adding the Hilbert transform as a source term. This talk will survey some recent results on the global existence of solutions and on their uniqueness. In addition, piecewise smooth solutions can be constructed locally in time,providing a detailed description of the solution profile in a neighborhood of each shock. Various related open problems will be discussed.(This is a joint work with Khai Nguyen and Tianyou Zhang).
备注:A.Bressan教授是国际著名数学家,美国宾夕法尼亚州立大学教授。Bressan教授在涉及到激波的非线性双曲守恒律方程组的适定性理论上作出了杰出贡献,2002年在国际数学家大会上作一小时大会报告。Bressan教授是挪威皇家科学院院士,曾获得多项大奖,如美国工业与应用数学学会的Analysis of Partial Differential Equations奖, 美国数学会的Maxim Bocher奖. Bressan教授曾多次访问中国,与我院相关领域的科研人员有着非常紧密的学术联系。
 

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