报告题目：Global boundedness andstabilization in a two-competing-species chemotaxis-fluid system with two chemicals
报告人：穆春来
时间：2019年12月5日 16:00-17:00
地点：best365体育官网登录入口221会议室
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报告摘要
This talk deals with a two-competing-specieschemotaxis-fluid system with two different signals in a liquidsurrounding environment and a smooth bounded domain. Firstly,when N=2 and κ=1, based on the standardheat-semigroup argument, it is proved that for all appropriately regularnonnegative initial data and any positive parameters, this system possesses aunique global bounded solution. Secondly, when N=3 and κ=0,by using the maximal Sobolev regularity and semigroup technique, it is provedthat the system admits a unique globally bounded classical solutionprovided that there exists θ0> 0such that max{χ1, χ2}/min{μ1, μ2}<θ0. Finally, by means of energy functionals andcomparison arguments, it is shown that the global bounded solution of thesystem converges to different constant steady states, according to thedifferent values of a1 and a2.Furthermore, we give the precise convergence rates of global solutions.
专家简介
穆春来，重庆大学数学与统计学院院长，教授，博士导师。2005年入选“教育部新世纪优秀人才”计划，2008入选重庆市学术与技术带头人。先后承担了多项国家自然科学基金、教育部新世纪优秀人才基金、教育部优秀年轻教师基金、重庆市自然科学重点基金项目。2015年获得重庆市自然科学奖二等奖一项；2014年获得国家教学成果二等奖一项。已在“Math Mod Meth Appl. Sci”、“J. Diff. Equs”、“J. Nonlinear Sci.”、“Proc. Roy. Soc. EdinghSec. A”、“Dis. Contin. Dyn. Syst.”、“Z. Angew. Math. Phys”等国内外重要数学期刊发表论文200余篇。
