Paper
Stability threshold of the 2D Boussinesq system near Couette flow in an infinite channel
Authors
Tao Liang, Jiahong Wu, Xiaoping Zhai
Abstract
In this paper, we study the stability threshold of the two-dimensional Boussinesq equations around the Couette flow in an infinite channel under no-slip boundary conditions. We prove that the Couette flow is asymptotically stable under initial perturbations satisfying , and . Compared with the work of Masmoudi, Zhai, and Zhao [J. Funct. Anal., 284 (2023), 109736], where the asymptotic stability of the 2D Navier-Stokes-Boussinesq system around Couette flow in a finite channel was established, our result improves the stability threshold for the temperature from to .