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：数学科学学院221会议室

主办单位：数学科学学院

 

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。