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中國人民大學向田副教授學術報告

時間:2020-01-03 13:44??????來源:研究生辦公室????? ????? 點擊量:
報告地點 主講人

報告題目:On boundedness, gradient estimate, blow-up and convergence in a two-species and two-stimuli chemotaxis system with/without loop

報  告 人:向田 副教授(中國人民大學

報告時間:202015日(周日)11:00

報告地點:清水河校區主樓A1-513

   人:向昭銀 教授


報告摘要:

In this talk,  we  report dynamic properties of classical solutions to a  homogenous  Neumann initial-boundary value problem (IBVP) for a two-species and two-stimuli  chemotaxis model with/without chemical signalling loop in a 2D  bounded and smooth domain. In radial and elliptic simplification settings, we provide a substantial step toward the (simultaneous) global boundedness and (simultaneous) finite-time blow up. In the general case, i.e., no radial and elliptic simplifications, we successfully detect the product of two species masses as a feature to determine boundedness, gradient estimate, blow-up and W^{j,\infty}( j\geq 1)-exponential convergence of classical solutions for the corresponding IBVP. This report is based on recent two joint projects with K. Lin from Southwestern University of Finance and Economics.


報告人簡介:

向田,20145月博士畢業于美國杜蘭大學(Tulane University),偏微分方程專業,現為人民大學數學科學研究院副教授,碩士生導師,人民大學青年學者B; 研究興趣為偏微分方程及其應用, 非線性分析以及動力系統,近年來主要從事趨化(chemotaxis, 一種重要的生物定向運動機制)相關模型的研究, 已在SIAP, JDE, Nonlinearity, JNS, EJAM, JMP,DCDS等雜志上發表31篇論文(含一篇博士學位論文),被引用136余次(mathscinet),研究獲得中央高??蒲袉踊?,人民大學人才培育基金,博士后基金一等以及國家自然科學基金青年基金的資助。


Copyright ? 2016-2017 電子科技大學數學學院

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