登录入口学术活动预告
报告承办单位: 数学与统计学院
报告内容: Thermal Stratification in Geophysical Fluid Flows
报告人姓名: 赵昆
报告人所在单位: 杜兰大学
报告人职称/职务及学术头衔:副教授
报告时间: 2020年1月6日（周一）下午16：00-17:00
报告地点: 云理科楼A419
报告人简介:赵昆，男，40岁，博士生导师，主要研究领域为流体动力学中的偏微分方程、生物数学中的偏微分方程，1997-2004年中国科学技术大学本硕连读，2004-2009年美国佐治亚理工学院博士研究生毕业，2009-2011年美国生物数学研究所博士后出站，2011-2012年美国爱荷华大学访学一年, 2012年进入美国杜兰大学工作，2018年晋升为杜兰大学副教授。自博士毕业以来，在国际数学顶尖级期刊上如《Journal of Differential Equations》,《Indiana University Mathematics Journal》,《Archive for Rational Mechanics and Analysis》,《SIAM Journal on Mathematical Analysis》公开发表或已投稿论文55篇，已发表论文被SCI收录45篇，主持西蒙斯基金会资助数学家项目1项，，获得LA BoR Research Competitiveness Subprogram 项目1项，获得MBI Early Career资助项目1项，获得杜兰大学 CoR Research Fellowship项目1项，长期担任《Journal of European Mathematical Society》,《Journal of Differential Equations》,《SIAM Journal on Mathematical Analysis》,《Nonlinearity》等30多种SCI杂志审稿专家，2015年被评为《Journal of Differential Equations》,《Journal of Mathematical Analysis and Applications》等杂志有突出贡献的审稿专家，现已培养博士后3人出站，8人博士毕业，30人硕士毕业，现为美国数学学会，美国工业与应用数学学会,美国MAA委员。
报告摘要：he two-dimensional incompressible Boussinesq equations
have been routinely used to model systems across a
tremendous range of length and time scales from
microfluidics and biophysics to geodynamics and astrophysics. It plays an important role in the study of atmospheric and oceanographic turbulence as well as other situations where rotation and stratification play a dominant role. In addition to its own physical background, the model is also known for its close connection with fundamental models in mathematical fluid mechanics, such as the incompressible Euler and Navier-Stokes equations. In a special situation, the vortex formulation of this two-dimensional model in Eulerian coordinates is formally identical to the vortex formulation of the three-dimensional Euler equations in cylindrical coordinates for axisymmetric swirling fluid flows, which makes it a tremendously rich area for mathematical investigations. The theme of this talk is oriented around the rigorous mathematical demonstration of one of the common phenomena in geophysical fluid flows: thermal (vertical) stratification. In addition, some recent results on the stability of dynamic shear flow will be reported. Moreover, some open problems and numerical experiments will be discussed.