贝博足彩

会议时间：2021年12月19日（周日）下午

腾讯会议ID：799 648 907

主办单位：贝博足彩人民贝博足彩数学科学研究院/数学学院

2021人民贝博足彩偏微方程系列报告会5

日程安排

《2021人民贝博足彩偏微方程系列报告会5》

报告题目与摘要

Applications of maximal Sobolev regularity in chemotaxis models

曹欣茹

东华贝博足彩

报告摘要：In this talk, we are going to introduce a version of maximal Sobolev regularity with time potential functions in evolution equations. It will be applied to prove boundedness in Keller-Segel model with/without logistic source, to show critical exponents in quasilinear chemotaxis model, as well as large time behavior of the solution.

演讲人简介：曹欣茹， 东华贝博足彩理学院副教授。2014年在大连理工贝博足彩获得博士学位。2015年至2016年在贝博足彩人民贝博足彩数学科学学院做博士后。2016年至2018年在Paderborn贝博足彩做博士后。研究方向为趋化模型的定性理论，在Nonlinearity,  Discrete Contin. Dyn. Syst. A, Calc.Var.Partial Differential Equations, J. Differential Equations 等 SCI 数学期刊上发表论文多篇。

Global existence and stability for a class of Chemotaxis models

吕文斌

山西贝博足彩

报告摘要：In this talk, we study a class of Chemotaxis models with signal-dependent motility and generalized logistic source under homogeneous Neumann boundary conditions in a higher-dimensional smooth bounded domain. It is shown that the considered system possesses a global solution for all sufficiently smooth initial data. Furthermore, the solution converges to the equilibrium under some extra hypotheses.

演讲人简介：吕文斌，山西贝博足彩数学科学学院。2016年博士毕业于武汉贝博足彩，师从陈化老师。研究兴趣：趋化模型及其自由边值问题。主持国家自然科学基金青年基金一项。主要成果发表在JDE等SCI期刊。

Global boundedness and asymptotic behavior in a

quasilinear attraction-repulsion chemotaxis model with nonlinear signal production and logistic-type source

任国强

华中科技贝博足彩

报告摘要：In this work we consider the quasilinear attraction-repulsion chemotaxis model with nonlinear signal production and logistic-type source. We present the global existence of classical solutions under appropriate regularity assumptions on the initial data. In addition, the asymptotic behavior of the solutions is studied.

演讲人简介：任国强，华中科技贝博足彩数学与统计学院讲师，2019年博士毕于华中科技贝博足彩数学与统计学院，师从刘斌教授，2019年-2021年在华中科技贝博足彩人工智能与自动化学院做博士后，主要从事趋化系统，微分代数系统，最优控制。目前已在“Journal of Differential Equations, Mathematical Models and Methods in Applied Sciences, Discrete & Continuous Dynamical Systems，Nonlinear Analysis: Real World Applications”等杂志上发表论文十余篇。作为项目负责人主持国家自然科学基金青年项目，博士后第2批站前特别资助，第67批博士后面上资助以及中央高校科研启动基金。

The evolution of anisotropic flow in the plane

王小六

东南贝博足彩

报告摘要：In this talk, we investigate the evolution of various kinds of anisotropic flows in the plane, including the shrinking case, the expanding case and the constrained case. We try to understand the role of anisotropic function in determining the longtime behaviour of these flows.

演讲人简介：王小六，东南贝博足彩数学学院副教授，博士毕业于香港中文贝博足彩数学系。主要关注平面曲线流及反应扩散方程方面的相关研究，在《Calc. Var. PDE》，《Math. Z.》，《SIAM J. Math. Anal.》等学术期刊上发表论文多篇，主持两项国家自然科学基金项目

The Nonlocal Stefan Problem

周茂林

南开贝博足彩

报告摘要：In this talk, we will propose a new free boundary model, which is a nonlocal version of Stefan problem. We will mainly focus on the idea to establish the model and the connection to the classical Stefan problem. It is a joint work with Xinfu Chen and Fang Li.

演讲人简介：周茂林博士，现为南开贝博足彩陈省身数学研究所特聘研究员，2009年于南开贝博足彩本科毕业，2014年于东京贝博足彩获博士学位，导师为国际分析学家Hiroshi Matano教授，2017年获澳大利亚自然科学基金委担任DECR特任研究员。周茂林博士的研究领域为抛物方程和特征值问题，在Ann. Inst. Henri Poincare Anal. Non Lineaire、J. Math. Pures Appl.、Trans. Amer. Math. Soc.、Indiana Univ. Math.、J. Func. Anal.等国际期刊发表论文20余篇。