学术报告
From hyperbolic to parabolic equations by quadratic change of time - PROF. Yann Brenier, CNRS (CMLS, Ecole Polytechnique)
报告题目: From hyperbolic to parabolic equations by quadratic change of time
报告人:Yann Brenier, CNRS (CMLS, Ecole Polytechnique)
报告摘要: A very simple way to derive, at least formally, some parabolic models from hyperbolic equations is to perform a quadratic change of time. Examples include the heat equation (derived from the Euler equations of isothermal fluids), the curve-shortening flow (from the relativistic string equations) and some model of MHD (from the Born-Infeld model of Electromagnetism). From the Analysis viewpoint, this idea allows us to apply the relative entropy method, well known in the setting of hyperbolic equations, to some of these parabolic models in order to define suitable concepts of "dissipative" solutions. (joint work with Xianglong Duan)
报告人简介:
Prof. Yann Brenier is a world renowned expert in PDE. He is currently a senior researcher of Centre de math’ ematiques Laurent Schwartz, Ecole Polytechnique, France. He has received many prizes and awards such as Junior member of the Institut Universitaire de France (1996-2000). Prix Petit-d’Ormoy of the France Academy of Sciences 2005. He was an invited sectional lecture at ICM 2002, Beijing and invited plenary lecture at I CIAM 2003, Sydney.
Yan Brenier教授,法国巴黎综合理工大学校劳伦特施瓦兹数学中心高级研究员,国际著名应用数学家,在偏微分方程及其应用方面取得了一系列有重要国际影响的成就。曾获邀在 2002年北京国际数学家大会上做45分钟报告,2003年悉尼国际工业与应用数学大会上做大会邀请报告。Yan Brenier教授曾荣获法国大学研究院青年院士(1996-2000),2005年法国科学院Prix Petit-d'Ormoy数学奖等多个奖项与称号。
时间:2017年10月18日下午3:00--4:00
地点:首都师范大学新教二楼527教室
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首都师范大学数学与交叉科学研究院
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