​勷勤数学•专家报告-王跃循

勷勤数学•专家报告


题      目:Wave breaking to the generalized Fornberg-Whitham equation


报  告  人:王跃循   教授  (邀请人:袁源 )

                                     兰州大学


时      间:6月6日  09:00-10:00


地     点:数科院东楼401


报告人简介:

       兰州大学数学与统计学院教授,国家特聘青年专家。主要研究兴趣为可压缩流体力学偏微分方程的适定性和色散偏微分方程的波的破裂以及动力学行为。


摘      要:

       We construct a blowup solution to the generalized Fornberg-Whitham equation, which displays wave breaking at one single point. Moreover, this solution converges asymptotically in the self-similar variables to a stable self-similar solution of the inviscid Burgers equation, and also possesses a Holder C^{1/3} regularity at the blowup point. This talk is based on the joint work with J.-C. Saut.


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