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：数学与统计学院格物楼3103报告厅

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