报告题目1：Existence and homogenization of bisatble pulsating fronts forreaction-diffusion-advection equations in periodic media

报告人：丁维维教授，华南师范大学

报告时间：2026年9月17日（周四）8:30-9:30

报告地点：20-200

报告摘要：This talk focuses on bistable pulsating fronts for multidimensional reaction-diffusion equations with advection in periodic media. We will establish the existence of pulsating fronts in rapidly oscillating media and characterize the homogenized wave limit. In addition, we will present estimates for the convergence rate of the wave speed as the period approaches zero, and discuss the influence of advection on the propagation dynamics.

报告人简介：丁维维，华南师范大学教授，省级领军人才。研究方向为抛物方程扩散-传播现象的数学理论研究，相关工作发表于Adv. Math.、Math. Ann.、J. Math. Pures Appl.、Ann. I. H.Poincare-AN、J. Funct. Anal.、Indiana Univ. Math. J.、SIAM J. Math. Anal、JDE等期刊。目前主持国家自然科学基金面上项目等。

报告题目2：Nonradial stable solutions near the Joseph--Lundgren threshold

报告人：刘勇教授，北京工商大学

报告时间：2026年9月17日（周四）9:30-10:30

报告地点：20-200

报告摘要：We study positive stable solutions of the supercritical Lane--Emden equation in the first Joseph--Lundgren interval.  For a family of dimensions, we construct nonradial stable entire solutions with exponent close to the upper endpoint of this interval.  This disproves a radiality conjecture of Chan and Wei.  The construction begins with a smooth positive nonconstant solution on the sphere, which is obtained by matching a polar cap to an inner  neck.  A sharp expansion of the lowest shifted eigenvalue proves that the resulting singular cone is strictly stable.  Finally, a minimal-solution and rescaling argument replaces the cone by a smooth stable entire solution while preserving its sphere variation. To the best of our knowledge, this is the first nontrivial example of nonradial stable solutions for the Emden–Fowler equation.

报告人简介：刘勇，北京工商大学数学与统计学院教授。主要研究具有几何或物理背景的椭圆型偏微分方程，如Allen-Cahn方程、KP方程、Ginzburg-Landau方程等。

报告题目3：Analysis of a parabolic type system with singular initial data: existence, multiplicity and stability

报告人：王俊教授，江苏大学

报告时间：2026年9月17日（周四）10:30-11:30

报告地点：20-200

报告摘要：In this talk, we present results on the existence and multiplicity of positive solutions and examine the stability of a parabolic Lane–Emden type system, with particular emphasis on cases involving singular initial data. On the other hand, we also investigates the asymptotic behavior, blow-up phenomena, and decay rates for the Lane-Emden type system.

报告人简介：王俊，现为江苏大学教授、博士生导师，数学科学学院党委书记，省级领军人才。2011年东南大学博士毕业，2018年破格晋升为教授。获“全国百篇优秀博士论文提名论文”等，2019年获教育部自然科学二等奖（第二完成人）。主要从事非线性泛函分析与偏微分方程和应用数学的研究，在JFA, CPDE，Math. Z, Ann. Sc. Norm. Super. Pisa, CVPDE, Annales Henri Poincare，Nonlinearity和JDE等国际数学专业杂志上发表SCI论文80多篇。主持国家面上项目3项、参与国家重点研发计划“数学与应用数学”专项变分理论与Yang-Mills方程1项，主持国家青年基金及其他省部级项目6项。多次在国际学术会议上做学术报告，曾在中国台湾大学从事博士后研究工作，并先后应邀访问美国威廉玛丽学院、中国香港理工大学、中国澳门大学、德国勃兰登堡工业大学、澳大利亚麦考瑞大学、悉尼大学和新英格兰大学等高校。

报告题目4：Forced waves for the Fisher-KPP equationin a degenerate shifting environment

报告人：吴事良教授，西安电子科技大学

报告时间：2026年9月17日（周四）11:30-12:30

报告地点：20-200

报告摘要：In this talk, we focus on the forced waves arising from the Fisher–KPP equation in a degenerate shifting environment, addressing their existence, multiplicity, and exact spatial decay rates as well as stability properties. We prove that the model may possess exactly one forced wave, infinitely many ordered families of forced waves, or none at all. We also conduct a thorough investigation into the global (non-local) stability of several classes of forced waves and characterize the long-time asymptotic behavior of solutions subject to general initial data.

报告人简介：吴事良，西安电子科技大学教授、博士生导师，省级领军人才，陕西省科技创新团队带头人。现为中国数学会理事和陕西省数学会常务理事。主要研究方向为微分方程、动力系统及应用。主持国家自然科学基金5项；获陕西省科学技术奖一等奖2项、二等奖1项，以及第十一届陕西青年科技奖。部分成果发表在J. Math Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math Anal.、Calc. Var. PDE、JDE、Nonlinearity等期刊。

邀请人：无穷维动力系统和偏微分方程研究所