Threshold dynamics in the nonlinear stability exchange of constant steady states for Keller-Segel systems
报告人：丁梦瑶
报告地点：线上腾讯会议（会议ID：341222378，会议密码：5584）
报告时间：2026年10月24日星期六 15:00-16:00
邀请人：尚彬
报告摘要：
This talk investigate the stability and instability of constant steady states of the classical Keller-Segel system subject to homogeneous Neumann boundary conditions. By establishing an explicit critical threshold, we characterize the exchange of stability of constant steady states. To overcome the restrictions on spatial dimensions and domain geometries in previous studies, we introduce a new approach based on a special pairing of different frequencies. This method allows us to establish Lyapunov instability in general bounded domains of arbitrary dimensions and can be extended to a broader class of nonlinear evolution equations.
主讲人简介：
丁梦瑶，哈尔滨工业大学副教授，主要从事非线性偏微分方程的适定性、正则性及相关应用研究，研究内容涉及非线性椭圆与抛物方程、非局部算子、趋化模型和流体方程。在 SIAM J. Math. Anal.、J. Lond. Math. Soc.、Calc. Var. Partial Differential Equations 等国际数学期刊发表学术论文10余篇。并获得国家自然科学基金青年项目及中国博士后科学基金面上资助。
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