报告题目：Boundary layers associated with the viscous Primitive Equations in a cube
报 告 人：韩道志 助理教授（Missouri University of Science and Technology,USA）
The inviscid Primitive Equations (PEs) are an important model for short-term weather forecast. It is well-known that the inviscid PEs are ill-posed for any local boundary conditions. In this talk we discuss the imposition and justification of nonlocal boundary conditions for the inviscid PEs by a careful study of the boundary layers associated with the viscous PEs in a cube. The boundary layers are constructed differently according to different modes (classified as supercritical, subcritical and zero modes), and include parabolic boundary layers, elliptic boundary layers and corner layers. We establish the convergence in energy norms between the viscous solutions and approximate solutions (inviscid solution plus boundary layers) for each mode.
韩道志，美国密苏里科学技术大学助理教授，博士毕于佛罗里达州立大学，美国印第安纳大学博士后，已在诸多领域做出重要研究成果。其研究领域涉及多相流，龙卷风，普朗特边界层理论以及流体动力学不稳定性和动态相变的建模、分析和数值模拟。已在《JDE》、《Math. Meth. Appl. Sci.》、《 J. Comput. Phys.》、《Numeri. Meth. Partial. Diff. Equa.》、《Physica D: Nonlinear Phenomena》、《Communications in Computational Physics》等国际期刊上发表学术论文20余篇。