活動日期：2018-09-24

活動時間：9:00

報告人：王治安 教授

主持人：竇井波 教授

地點：長安校區(qū) 數(shù)學(xué)與信息科學(xué)學(xué)院學(xué)術(shù)交流廳

主辦單位：數(shù)學(xué)與信息科學(xué)學(xué)院

講座內(nèi)容簡介：

In two papers by C. Liu et (Science, 2011) and Fu et al. (Phys. Rev. Lett. 2012), a new argument driving spatio-temporal pattern formation by density suppressed motility through self-trapping was proposed and verified by a mathematical model. In this talk, we shall report some results on the density-suppressed motility model proposed therein. The main challenge arising in this model is the possible degeneracy of diffusion. In our work, we shall use the motility function as a weight function and employ the weighted energy estimates to get the boundedness of solutions and hence rule out the possible degeneracy to obtain the existence of global classical solutions. We also discuss the large-time behavior of solutions and pattern formations with numerical simulations. This is a joint work with Haiyang Jin (South China University of Technology) and Yong-Jung Kim (KAIST).

講座人簡介：

王治安教授1998年畢業(yè)于華中師范大學(xué)；2001年在華中師范大學(xué)獲得碩士學(xué)位；2007年在加拿大Alberta大學(xué)獲得博士學(xué)位。2007-2009年在美國Minnesota大學(xué)數(shù)學(xué)與應(yīng)用數(shù)學(xué)研究所做博士后；2009-2010年在美國Vanderbilt大學(xué)任助理教授；2010年至今在香港理工大學(xué)任教，現(xiàn)為香港理工大學(xué)數(shù)學(xué)系副教授。王治安教授主要研究領(lǐng)域包括趨化模型及生物數(shù)學(xué)模型的理論分析和數(shù)值模擬，已在包括SIAM J. Applied Mathematics、SIAM J. Mathematical Analysis、J. Differential Equations、J. Mathematical Biology、Nonlinearity等國際知名數(shù)學(xué)雜志發(fā)表學(xué)術(shù)論文60多篇， 獲得多項香港研究基金資助。