报告题目: Existence of generalized solitary wave solutions for  a diatomic Fermi-Pasta-Ulam-Tsingou lattice 

报 告 人：邓圣福教授，华侨大学（福建）

报告时间：2023年4月11日10:00-11:00

报告地点：21幢417

报告摘要: This talk considers the existence of generalized solitary wave solutions for a diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. The FPUT lattice is formulated as a  dynamical system under the traveling wave frame. Then the center manifold reduction theorem with the Laurent expansion is applied to show that this system can be reduced to a system of ordinary differential equations with dimension 5. Its dominant system has a homoclinic solution. Using a perturbation method and adjusting some appropriate constants, we prove that this homoclinic solution persists for the whole  ordinary differential system, which is connected to a  periodic solution with algebraically small amplitude.  This yields the existence of  a generalized solitary wave solution for the FPUT lattice.

报告人简介：邓圣福，华侨大学教授，主要研究微分方程与动力系统理论及其在水波问题上的应用。先后主持国家自然科学基金面上项目3项、福建省和广东省自然科学基金多项。在Arch. Rational Mech. Anal.、SIAM J. Math. Anal.、Nonlinearity、J. Differential Equations、Physica D等国际重要学术期刊上发表论文40多篇。

邀请人：韩茂安、戴燕飞