Nonlinear inviscid damping for a class of monotone shear flows in a finite channel

• 成果类型: Article
• 署名作者: Masmoudi, Nader; Zhao, Weiren
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2024.199.3.3
• 发表日期: 2024
• 页码: 1093-1175
• 关键词: enhanced dissipation; time behavior; alfven waves; couette-flow; STABILITY; EQUATIONS; plasma

摘要

We prove the nonlinear inviscid damping for a class of monotone shear flows in T x [0, 1] for initial perturbation in Gevrey- 1/s class (1 < 1/s < 2) with compact support. The main new idea of the proof is to construct and use the wave operator of a slightly modified Rayleigh operator in a well-chosen coordinate system.