williamhill官网学术报告
--- 分析、偏微分方程与动力系统讨论班 (2025春季第19讲)
Existence of traveling waves for vector valued Allen-Cahn equations
梁之磊 (西南财经大学)
时间：7月8日（周二）上午10:00-11:00
地点：沙河校区国实E803
摘要: Allen–Cahn equation is a fundamental continuum model that describes phase transitions in multi-component mixtures. We prove the existence of traveling waves for vector valued Allen–Cahn equations in the context of Ginzburg-Landau theories; in addition, we find the largest wave speed and provide its bounds from upper and below. Our method is based on a variation technique and can be applied to system of equations with a gradient flow structure.
报告人简介: 梁之磊，西南财经大学数学学院教授，匹兹堡大学访问学者，四川省“学术与学科带头人后备人选”、入选西南财经大学首届“光华百人计划”。主要研究方向为流体力学中的数学问题，已在Arch. Rational Mech. Anal. 、J. Math. Pures Appl. 、SIAM J. Math. Anal.、Math. Mod. Meth. Appl. Sci.等杂志发表多篇文章。主持国家自然科学基金天元项目和青年项目各1项，四川省科技厅中央转地方专项基金项目1项。
邀请人：戴蔚
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