Linearized Navier Stokes equations at high Reynolds numbers: A unified approach to inviscid damping, vorticity depletion and enhanced dissipation

In this article, we give an introduction to asymptotic stability in two dimensional incompressible flows, and a non-technical overview of the recent proof of uniform-in-viscosity inviscid damping and vorticity depletion near periodic shear flows on a non-square torus.

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Publication Details

Journal
EMS Surveys in Mathematical Sciences
Published
2025-09-26
DOI
https://doi.org/10.4171/emss/104
Primary Topic
Fluid Dynamics and Turbulent Flows
Type
article
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article

Linearized Navier Stokes equations at high Reynolds numbers: A unified approach to inviscid damping, vorticity depletion and enhanced dissipation

Hao Jia
EMS Surveys in Mathematical Sciences
Fluid Dynamics and Turbulent Flows
article

Linearized Navier Stokes equations at high Reynolds numbers: A unified approach to inviscid damping, vorticity depletion and enhanced dissipation

Hao Jia
article en

Abstract

In this article, we give an introduction to asymptotic stability in two dimensional incompressible flows, and a non-technical overview of the recent proof of uniform-in-viscosity inviscid damping and vorticity depletion near periodic shear flows on a non-square torus.

EMS Surveys in Mathematical Sciences
University of Minnesota (US)
Openalex Percentile: Top 72%
Fluid Dynamics and Turbulent Flows
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Linearized Navier Stokes equations at high Reynolds numbers: A unified approach to inviscid damping, vorticity depletion and enhanced dissipation — Hao Jia · EMS Surveys in Mathematical Sciences (2025) | TGRS Research Map | TGRS