报告题目：Boundary layer associated with incompressible Newtonian flows
报 告 人：美国佛罗里达州立大学数学系主任王晓明教授
时 间：5月10日下午3:00
地 点：理学院学术报告厅（励学楼B219）
报告人简介：王晓明，美国印第安纳大学数学博士，美国佛罗里达州立大学数学系教授、系主任，复旦大学客座教授。研究领域为应用数学，主要研究与流体动力学、地下水、地球物理学相关的数学问题。发表高水平学术论文70余篇，出版专著3部，参与组织诸多国际性学术活动，多次应邀在世界各地做学术报告，学术成果受到高度评价。
摘要: Many physical models are simplified models that are derived by formally setting certain non-dimensional parameters to zero. The original models can be viewed as perturbations of the limit models. These perturbations are singular in many applications in the sense that there exist singular structures in the limit. The rigorous verification of such singular limits are of physical importance in terms of model validation and in terms physical phenomena that may require the understanding of the singular structures. One well-known example is the inviscid limit of the Navier-Stokes system that governs incompressible Newtonian flows in the presence of physical walls and the associated boundary layers. The rigorous validation of the Euler system as the inviscid limit of the Navier-Stokes system is still a prominent open problem. The associated boundary layer is of great importance in fluid dynamics. In this talk, I will identify the important role played by a spectral constraint associated with appropriately constructed approximate solutions.We illustrate the application of the spectral constraint approach to several examples, includingseveral types of flows with special symmetries, and the vanishing Darcy number limit of the Darcy-Brinkman-Oberbeck-Boussinesq system.
