报告题目: The dispersion in the damped Boussinesq equation

报告专家: 刘国威（香港中文大学  博士后）

报告时间: 2019年11月15日（周五）15:00~16:30

报告地点: 东校区8教406

欢迎广大师生光临！

摘要： In this talk, we will introduce the dispersion in the damped Boussinesq equation and utilize the effect of dispersion to obtain the global well-posedness and asymptotic behavior, furthermore, inviscid limit for the damped Boussinesq equation. On one hand, the results show, with the dispersion and dissipation taken into account simultaneously, we get the better decay rate than that got only by the dissipation. Actually, the decay rates will plus with each other to a certain extent in which the one decay rate comes from dissipation and the other decay rate comes from dispersion. On the other hand, the results show when the dissipation vanishes, the solutions will converge strongly to the solution of associated to the Boussinesq equation which is a pure dispersive equation.

专家简介：刘国威，重庆师范大学副教授，香港中文大学博士后，研究方向为“非线性偏微分方程及其应用”、“无穷维动力系统”，现已在  J. Funct. Anal.， J. Differential Equatons，Nonlinear Analysis: Real World Applications， J. Math.. Anal. Appl. 等高水平期刊上发表SCI学术论文十余篇。研究生期间主持省级基金2项，参与国家基金面上项目4项。