学术活动
Global Stability of E-H Type Regular Refraction of Shocks on the Interface between Two Media
2015-05-04
来源：科技处 供稿：冀俊宇 点击次数：
主 讲 人： 方北香 副教授（上海交通大学）
时 间： 2015年5月4日（周一）16：00-17：00
地 点： 必赢76net线路官网北一区文科楼 708 教室
主 办 单 位： 必赢76net线路官网数学科学学院
内 容 介 绍：In this talk I will discuss the refraction of shocks on the interface for 2-d steady compressible flow. Particularly, the class of E-H type regular refraction is defined and its global stability of the wave structure is verified. The 2-d steady potential flow equations is employed to describe the motion of the fluid. The stability problem of the E-H type regular refraction can be reduced to a free boundary problem of nonlinear mixed type equations in an unbounded domain. The corresponding linearized problem has similarities to a generalized Tricomi problem of the linear Lavrentiev-Bitsadze mixed type equation, and it can be reduced to a nonlocal boundary value problem of an elliptic system. The later is finally solved by establishing the bijection of the corresponding nonlocal operator in a weighted H/"older space via careful harmonic analysis. This is a joint work with CHEN Shuxing and HU Dian.
时 间： 2015年5月4日（周一）16：00-17：00
地 点： 必赢76net线路官网北一区文科楼 708 教室
主 办 单 位： 必赢76net线路官网数学科学学院
内 容 介 绍：In this talk I will discuss the refraction of shocks on the interface for 2-d steady compressible flow. Particularly, the class of E-H type regular refraction is defined and its global stability of the wave structure is verified. The 2-d steady potential flow equations is employed to describe the motion of the fluid. The stability problem of the E-H type regular refraction can be reduced to a free boundary problem of nonlinear mixed type equations in an unbounded domain. The corresponding linearized problem has similarities to a generalized Tricomi problem of the linear Lavrentiev-Bitsadze mixed type equation, and it can be reduced to a nonlocal boundary value problem of an elliptic system. The later is finally solved by establishing the bijection of the corresponding nonlocal operator in a weighted H/"older space via careful harmonic analysis. This is a joint work with CHEN Shuxing and HU Dian.
