Uniform well-posedness and inviscid limit behavior for the Benjamin-Ono-Burgers equations
发布时间：2019年01月14日
浏览次数：6775
发布者: Ying Hao
主讲人： Mingjuan Chen (Institute of Applied Physics and Computational Mathematics)
活动时间： 从 2019-01-17 14:00 到 15:00
场地： 北京国际数学研究中心，全斋全9教室
Abstract: The problem about the inviscid limit behavior for Benjamin-Ono-Burgers (BOB) equations was first addressed by Terence Tao in 2004. In this talk, I will introduce our latest results. For generalized BOB equation, we obtain that it is uniformly globally well-posed in critical Besov Spaces with small initial data. Furthermore, we prove the global well-posedness and its inviscid limit behavior in Sobolev spaces. For BOB equation, we obtain the inviscid limit behavior in refined Sobolev spaces, whose low-frequency spaces are scaling critical and high-frequency spaces are equivalent to L^2 spaces.
