技能

Global solutions to the Burgers-Hilbert equation

编辑:王凤仪 来源:数科室技企业 主页:188体育手机投注 时间:2019年11月29日 访问次数:0  源地址

题目: Global solutions to the Burgers-Hilbert equation

报告人:Alberto Bressan(美国宾州州立企业)

时间地点:12月16日下午作2:30-3:30,工商楼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.

报告人概况:
Alberto Bressan,美国宾州州立企业Eberly Family讲席导员,主要从事双曲守恒律,交通流模型,拉格朗日部统的脉冲控制,非合作微分策略等问题的研究。2002年全球数学家大会一小时邀请报告人,美国数协会会士,曾获得G. Fichera prize,L. Amerio prize,B?cher Memorial Prize,A. Feltrinelli prize,Analysis of Partial Differential Equations Prize of the SIAM等多项荣誉。担任十几个全球重要期刊的编委,包括Arch. Rational Mech. Anal., J. Differential Equations., SIAM J. Math. Anal., Discrete Contin. Dyn. Syst. 等。多次在全球会议上做邀请报告,发表超过200篇技能作文,并出版多本专著。

联部人:孔德兴导员(dkong@zju.edu.cn)


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