Coupled Variable Coefficient Wave Equations: Periodic Solutions, Vanishing-Coupling Asymptotics, and Sign-Changing Solutions
报告人:魏辉
报告地点:线上腾讯会议(会议ID:430-820-933,会议密码:123456)
报告时间:2026年11月04日(星期三)18:00-18:45
邀请人:孟鑫
报告摘要:
This report concerns a class of coupled variable coefficient wave equations and investigates the existence of time periodic solutions, the vanishing-coupling limit, and a necessary condition for sign-changing solutions. The system consists of two variable coefficient wave equations coupled through both linear and nonlinear terms, and it arises from problems such as forced vibrations of a nonhomogeneous string.
主讲人简介:
魏辉,洛阳师范学院副教授,硕士生导师,博士毕业于东北师范大学。研究方向为微分方程与动力系统,在Math. Ann., ESAIM Control Optim. Calc. Var.,Proc. Roy. Soc. Edinburgh Sect. A,Sci. China Math.等期刊发表SCI论文10余篇,主持国家自然科学基金项目一项,河南省自然科学基金面上项目一项。