報告題目：Parabolic Systems of Aggregation Formation in Bacterial Colonies
報 告 人：馮兆生 教授 德克薩斯大學 RGV 分校
報告時間：2024年1月3日 14：00-15：00
報告地點：數學樓第二報告廳
校内聯系人：韓月才 hanyc@jlu.edu.cn
報告摘要：The goal of this talk is to study a fourth-order nonlinear parabolic system with dispersion for describing bacterial aggregation. It shows that unlike the model without dispersion, a bacterial cluster can move, which allows us to consider dispersion as some kind of control for bacterial colony. Analytical solution of traveling wave is found by taking into account the dispersion coefficient. Numerically, we demonstrate that the initial concentration of bacteria in the form of a random distribution over time transforms into a periodic wave, followed by a transition to a stationary solitary wave without dispersion.
報告人簡介：馮兆生，美國德克薩斯大學 RGV 分校 Carlos and Stephanie Manrique de Lara 講席教授。主要研究方向是非線性分析，動力系統，數學物理問題，數值計算與模拟等。曾于2015和2021年兩次獲得德克薩斯大學年度傑出科研成就獎。現任國際知名學術期刊CNSNS的共同主編和EJDE的執行主編，和多個國際SCI雜志的編委及AIMS應用數學系列叢書的編委。
