Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Abstract
ABSTRACT This article explores the stability of stratified Couette flow in the viscous Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves. These mechanisms are of fundamentally different nature and relevant in complementary dynamical regimes. Our study combines them to establish a bound for the non‐linear transition threshold, which is quantitatively larger than the inverse Reynolds number , and increases with stronger stratification resp. gravity.
Fields of Study & Subjects
Fluid Dynamics and Turbulent Flows
Oceanographic and Atmospheric Processes
Meteorological Phenomena and Simulations
Publication details
- Journal / source
- Communications on Pure and Applied Mathematics
- Publisher
- Wiley
- Volume
- 79
- Issue
- 12
- Pages
- 2435-2490
- Publication date
- 24 April 2026
- Language
- EN