报告题目:Orbital stability in equations of Camassa-Holm type
报 告 人:秦国权
研究方向:偏微分方程: Camassa-Holm型方程
摘 要:在本报告中,我们将介绍关于Camassa-Holm型方程研究的相关进展,包括Camassa-Holm型方程的适定性、爆破和尖峰孤立波,简要探讨尖峰孤立波的轨道稳定性等问题。
报告题目:Asymptotic behavior of solutions for hyperbolic equations with damping and sup-cubic nonlinearities
报 告 人:梅鑫钰
研究方向:无穷维动力系统
摘 要:We consider the infinite-energy solutions and their long-time behavior for semi-linear weakly damped wave equations in R^3 with quintic nonlinearities. This study includes global well-posedness of the so-called Shatah-Struwe solutions, their dissipativity, the existence of a locally compact global attractors (in the uniformly local phase spaces) and their extra regularity. We also obtain the existence of pullback attractor for the non-autonomous systems of weakly damped wave equation with a sup-cubic nonlinearity in uniformly local spaces. The results are crucially based on the recent extension of Strichartz estimates to the case of bounded domains.
时 间:2023年3月22日周三16:00——18:00
地 点:威廉希尔体育官方网站格物楼3103报告厅
欢迎广大师生参加!