Nonlinear enhanced dissipation and inviscid damping for the 2D Couette flow

DOI10.2140/tunis.2023.5.573zbMath1527.35223OpenAlexW4388232746MaRDI QIDQ6086126

Dongyi Wei, Zhifei Zhang

Publication date: 9 November 2023

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/tunis.2023.5.573

zbMATH Keywords

Navier-Stokes equationsCouette flowenhanced dissipationinviscid damping

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30)

Cites Work

• On the stability threshold for the 3D Couette flow in Sobolev regularity
• Transition threshold for the 2-D Couette flow in a finite channel
• Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
• The Sobolev stability threshold for 2D shear flows near Couette
• Inviscid damping near the Couette flow in a channel
• Stability of Couette flow for 2D Boussinesq system with vertical dissipation
• Stability threshold of two-dimensional Couette flow in Sobolev spaces
• Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
• Transition Threshold for the <scp>3D</scp> Couette Flow in Sobolev Space
• Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
• Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow
• Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions
• Enhanced dissipation for the 2D couette flow in critical space
• Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow
• Nonlinear inviscid damping near monotonic shear flows