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Global solutions to the Burgers-Hilbert equation

编辑:wfy 时间:2019年11月28日 访问次数:190

题目: Global solutions to the Burgers-Hilbert equation

報告人:Alberto Bressan(美國賓州州立大學

時間地點:12月16日下午作2:30-3:30,工商樓200-9

摘要:  In 2009 J.Biello and J.Hunter derived a balance law modeling nonlinear waves

with constant frequency,  obtained from  Burgers' equation by adding the Hilbert transform as a source term.  Recent work has established the global existence of solutions in the space  L^2(R), and a partial result on uniqueness. This talk will also describe the construction of piecewise smooth solutions, locally in time, providing a detailed analysis of the solution profile in a neighborhood of each shock. Various related open problems will be discussed.

報告人簡介:
Alberto Bressan,美國賓州州立大學Eberly Family讲席教授,主要从事双曲守恒律,交通流模型,拉格朗日系统的脉冲控制,非合作微分策略等问题的研究。2002年国际数学家大会一小时邀请报告人,美国数学会会士,曾获得G. Fichera prize,L. Amerio prize,Bôcher Memorial Prize,A. Feltrinelli prize,Analysis of Partial Differential Equations Prize of the SIAM等多项荣誉。担任十几个国际重要期刊的编委,包括Arch. Rational Mech. Anal., J. Differential Equations., SIAM J. Math. Anal., Discrete Contin. Dyn. Syst. 等。多次在国际会议上做邀请报告,发表超过200篇学术论文,并出版多本专著。

聯系人:孔德興老師(dkong@zju.edu.cn)