江蘇省應用數學（中國礦業大學）中心系列學術報告
報告題目：Concentration Phenomenon of Single Phytoplankton Species with Changing-Sign Advection Term
報告人：王智誠教授
報告時間：2023/12/04 （周一）09:00-10:00
騰訊會議：5318371238
報告摘要：In this talk, a nonlocal reaction-diffusion equation modeling the growth of phytoplankton species with changing-sign advection in a vertical water column is investigated, where the species depends solely on light for its metabolism. Firstly, we study the threshold-type dynamics of the population by critical death rate. Secondly, we examine the concentration phenomenon with large advection amplitude and small diffusion in two case: (i) the advection function $h(x)$ changes sign only once from positive to negative in water column $[0,1]$. We find that the phytoplankton will concentrate at certain critical point with large advection amplitude and small diffusion; (ii) the advection function $h(x)<0$ in $[0,\kappa)$ with $\int^{x}_{0}\frac{h(s)}{a(s)}\mathrm{d}s<0$ for all $x\in(0,1]$, the phytoplankton will concentrate at the surface of water column with large advection amplitude and small diffusion. We also investigate the limiting distribution of phytoplankton as diffusion rate $D\rightarrow+\infty$, the phytoplankton tends to even distribution in water column.
報告人簡介：王智誠，蘭州大學數學與統計學院教授，博士生導師。1994年本科畢業于西北師範大學，2007年在蘭州大學獲理學博士學位。主要成果發表在Trans. AMS、Arch. Rational Mech. Anal.、SIAM J. Math. Anal.、SIAM J. Appl. Math.、JMPA、Calc. Var. PDE、JDE、Nonlinearity等雜志上。2010年入選教育部新世紀優秀人才支持計劃，2011和2019年分别獲得甘肅省自然科學二等獎，2016年入選甘肅省飛天學者特聘教授，主持或參加完成多項國家自然科學基金面上項目和重點項目，正在主持一項甘肅省基礎研究創新群體項目和一項國家自然科學基金面上項目。目前擔任International J. Bifurc. Chaos 等雜志的編委（Associate editor）。