Echo chains as a linear mechanism: norm inflation, modified exponents and asymptotics

DOI10.1007/s00205-021-01697-6OpenAlexW3190124474MaRDI QIDQ2049602

Yu Deng, Christian Zillinger

Publication date: 27 August 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12914

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Resonance in context of PDEs (35B34) Euler equations (35Q31)

Related Items

On stability estimates for the inviscid Boussinesq equations ⋮ Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations ⋮ On Echo Chains in the Linearized Boussinesq Equations Around Traveling Waves ⋮ On echoes in magnetohydrodynamics with magnetic dissipation ⋮ Traveling waves near Couette flow for the 2D Euler equation ⋮ Linear inviscid damping in Sobolev and Gevrey spaces

Uses Software

• DLMF

Cites Work

• On Landau damping
• Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
• Landau damping: paraproducts and Gevrey regularity
• On the forced Euler and Navier-Stokes equations: linear damping and modified scattering
• Linear inviscid damping in Gevrey spaces
• Linear inviscid damping for monotone shear flows in a finite periodic channel, boundary effects, blow-up and critical Sobolev regularity
• Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces
• Linear inviscid damping for monotone shear flows
• Asymptotic Stability for the Couette Flow in the 2D Euler Equations