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The stability of Kelvin-Stuart cat's eye flows
Release time:2023-05-12 Hits:
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报告题目:The stability of Kelvin-Stuart cat's eye flows

报 告 人:林治武教授(美国乔治亚理工大学)

报告时间:2023年5月15日上午10:00-12:00

报告地点:数学院一楼135报告厅

报告摘要:Kelvin-Stuart vortices are classical mixing layer fows with many applications in fluid mechanics, plasma physics and planetary rings. We prove that the whole family of Kelvin-Stuart vortices is nonlinearly stable for co-periodic perturbations, and linearly unstable for multi-periodic or modulational perturbations. Kelvin-Stuart cat's eyes also appear as magnetic islands which are magnetostatic equilibria for the 2D ideal MHD equations in plasmas. We prove nonlinear stability of these magnetic islands for co-periodic perturbations, and give the first rigorous proof of the coalescence instability.

个人简历:林治武,美国布朗大学博士,现为美国佐治亚理工学院教授。从事流体力学, 等离子体及非线性波的偏微分方程模型的研究工作。在解的稳定性,解的长时间动力学行为等方面作出一系列有影响的工作,研究成果发表在Invent. Math., CPAM, Memoirs of AMS, CMP, ARMA等学术期刊上。现担任SIAM. J . Math. Anal. 等杂志的编委。