Linear inviscid damping in Sobolev and Gevrey spaces

DOI10.1016/j.na.2021.112492OpenAlexW3185683798MaRDI QIDQ2231436

Christian Zillinger

Publication date: 29 September 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00880

zbMATH Keywords

shear flowsasymptotic stabilityEuler equationsGevrey regularityinviscid damping

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (2)

On Echo Chains in the Linearized Boussinesq Equations Around Traveling Waves ⋮ On variable viscosity and enhanced dissipation

Cites Work

• Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
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• Echo chains as a linear mechanism: norm inflation, modified exponents and asymptotics
• Linear inviscid damping in Gevrey spaces
• On circular flows: linear stability and damping
• Linear inviscid damping for monotone shear flows in a finite periodic channel, boundary effects, blow-up and critical Sobolev regularity
• Landau damping
• On degenerate circular and shear flows: the point vortex and power law circular flows
• Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces
• Linear inviscid damping for monotone shear flows

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