勷勤数学•领军学者报告

题      目：Long time smooth solutions of 2-D quadratic quasilinear wave equations in exterior domains

报  告  人： 尹会成 教授  (邀请人：罗天文)

                                                  南京师范大学

时      间： 2月21日  10：00-11:00

地     点：数科院西楼二楼会议室

报告人简介:

         尹会成，南京师范大学数学科学学院教授，国家杰出青年基金获得者，全国优秀博士论文指导教师，曾获国家教委科技进步奖二等奖、教育部优秀青年教师奖等。他在Comm.Pure Appl.Math.，Comm.Math.Phys.， Arch. Ration.Mech. Anal.，Adv. Math.等杂志发表了110多篇论文，在流体动力学中的超音速流和跨音速激波理论,非线性波动方程经典解的爆破机制,非线性双曲方程解的整体奇性结构和奇性传播理论，退化双曲方程解的爆破或整体存在性等领域中取得了系列重要成果。

摘      要：

        For 3-D quadratic quasilinear wave equations with or without null conditions in exterior domains,the global existence or the maximal existence time of small data smooth solutions have been  established in early references. For the Cauchy problem of 2-D quadratic quasilinear wave equations with null conditions, it has been shown that the small data smooth solutions exist globally. However, for the corresponding 2-D initial boundary value problem in exterior domains, it is  still open whether the global solutions exist or not.  In this talk, we focus on this open problem. This is a joint work with Dr. Hou Fei and Dr. Yuan Meng.

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