九州平台-九州(中国)学术活动预告

报告承办单位: 数学与统计学院

报告题目:  On one-dimension quasilinear wave equations with null conditions

报告内容:  In this talk, we will show that one-dimension systems of quasilinear wave equations with null conditions admit global classical solutions for small initial data. This result extends Luli, Yang and Yu's seminal work [G.K. Luli, S.Yang, P.Yu, On one-dimension semi-linear wave equations with null conditions, Adv. Math.  329 (2018) 174-188] from the semilinear case to the quasilinear case. Furthermore, we also prove that the global solution is asymptotically free in the energy sense. In order to achieve these goals, we will employ Luli, Yang and Yu's weighted energy estimates with positive weights, introduce some space-time weighted energy estimates and pay some special attentions to the highest order energies, then use some suitable bootstrap process to close the argument. This talk is based on the work [Dongbing Zha, On one-dimension quasilinear wave equations with null conditions. Calc. Var. Partial Differential Equations 59 (2020), no. 3, Paper No. 94, 19 pp]

报告人姓名:  查冬兵

报告人所在单位: 东华大学

报告人职称/职务及学术头衔:  副教授

报告时间:  2020.09.16  15:30-16:30

报告方式:  腾讯会议 会议 ID：230 387 415

报告人简介: 查冬兵, 男，浙江嘉兴人，现任东华大学副教授、硕士生导师。本科毕业于山东大学数学学院，博士毕业于复旦大学数学科学学院。研究方向为非线性偏微分方程，尤其是双曲型方程的分析理论。相关研究论文发表于 JMPA、CVPDE、ESAIM:COCV、JDE、Forum Math. 等国际知名数学杂志。