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  • 数理根底与前沿研讨论坛--Asymptotic profiles of the singular Keller-Segel model on the half space


    讲述问题:Asymptotic profiles of the singular Keller-Segel model on the half space

    讲述人:李敬宇副传授(西南师范大学)

    讲述工夫:2019年09月24日(星期二)下昼16:30-17:30

    讲述地址:中博一分快三彩票网三楼集会室(SL310)

    讲述择要:In this talk we present some results on the characterization of asymptotic profiles, as the time tends to infinity, of solutions to the chemotaxis models with logarithmic sensitivity on the half space. We show that if the bacteria is imposed by inward flux boundary condition, then the solution converges to a traveling front which is determined by the flux strength; if the bacteria satisfies no-flux boundary condition and the nutrient satisfies non-homogeneous Dirichlet boundary condition, then the solution converges to a stationary spike. The difficulty of these problems relies on the singularity of the equation caused by the vacuum end state of the solution. The proofs are based on Cole-Hopf transformation and some weighted energy estimates.

    讲述人简介:李敬宇,西南师范大学副传授,研讨偏向:偏微分方程,师从张凯军传授。于2011年至2014年,在华东师范大学偏微分方程中央做博士后研讨,互助导师为国际闻名偏微分方程专家倪维明传授。掌管面上和青年基金各一项,出书专著一本,文章20多篇,揭晓在Math. Models Methods Appl. Sci,SIAM J. Math. Anal., Proc. Amer. Math. Soc.,Disc. Cont. Dyn. Sys.,J. Differential Equations等杂志。

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