信息科学技术学院数学系学术讲座(六十二、六十三)

发布单位:成果专利综合科 [2019-11-08 16:06:43] 打印此信息

题目一:Global stability of large solutons to 3D compressible Navier-Stokes equations

内容简介:In this talk, we investigates the global stability of large solutions to the compressible NavierStokes equations in the whole space. Under the assumption that the density ρ(t, x) verifies ρ(0, x)  c > 0 and supt0 ∥ρ(t)Cα ≤ M with α arbitrarily small, we establish a new approach for the convergence of the solutions to its associated equilibrium with an explicit decay rate which is the same as that for the heat equation. Then we prove the global-in-time stability for the equations, i.e, any perturbed solu- tions will remain close to the reference solutions if initially they are close to one another. This implies that the set of the smooth and bounded solutions is open.

报告人:清华大学何凌冰教授

报告人简介:博士毕业于中科院,主要研究方向为Boltzmann方程及Landau方程解的正则性传播和渐进性行为。近五年先后在Archive for Rational Mechanics and AnalysisCommunications in Mathematical PhysicsSIAM Journal on Mathematical AnalysisJournal of Functioal AnalysisJournal of Differential Equations  J. Stat. Phys.等国际主流数学杂志发表论文20余篇。

 

题目二:Recent results on global well-posedness of Boussinesq system

内容简介:In this talk, I shall introduce some recent well-posedness of the 2D Boussinesq equations with anomalous dissipation terms. I shall also examine the global regularity problem on the two-dimensional incompressible Boussinesq equations with fractional or partial dissipation and variable coefficient depending on temperature in R^2 or bounded domain. The goal is to establish the global existence and regularity for the Boussinesq equations with minimal dissipation.

报告人:北京师范大学许孝精教授

报告人简介:2005年在吉林大学获得博士学位,2012年被聘为博士生指导教师。主要从事偏微分方程及其应用方向的研究,重点研究来自流体动力学中的偏微分方程组的适定性。2007年博士论文被评为“吉林省优秀博士学位论文”。主持并完成中国博士后科学基金,国家自然科学基金—青年科学基金,以及国家、北京市自然科学基金—面上项目各1项。现正在主持国家自然科学基金—面上项目1项。曾获北京师范大学励耘优秀青年教师一等奖。与袁洪君教授合作编写本科生教材《数学物理方程》(教育部“十一五”国家级规划教材)一部,完成学术论文50余篇,已发表的论文45篇,其中被SCI检索的论文有40篇,有12篇论文发表在J. Math.Pures Appl., SIAM J. Math.Anal. NonlinearityJ. Nonlinear Science以及J. Differential Equations杂志上。被引用次数达310余次。曾在法国、美国、加拿大、波兰和香港等地区进行学术访问十余次。

 

  间:20191110日(周日)上午930

  点:南海楼224

 

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信息科学技术学院

2019118