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2023-03-22    点击:[]

报告题目:Orbital stability in equations of Camassa-Holm type

人:秦国权

研究方向:偏微分方程: Camassa-Holm型方程

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

人:梅鑫钰

研究方向:无穷维动力系统

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.


间:2023322日周三1600——1800

点:771771威尼斯.Cm格物楼3103报告厅


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