Stability of stationary solutions to 2D Boussinesq equations with partial dissipation on a flat strip. (February 2022)

• Record Type: Journal Article
• Authors: Chen, Dongxiang; Li, Xiaoli
• Is Part Of: Nonlinear analysis. Volume 215(2022)
• Publication Date: 2022-02
• Subjects: 35Q35 -- 76D03 -- 76D50; Boussinesq equations -- Stability -- Decay rates -- Time-weight energy estimate -- Partial dissipation; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112639
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The global existence and stability of perturbation of 2D Boussinesq equations with partial dissipation near hydrostatic equilibrium on a flat strip Ω ≔ T × [ 0, 1 ] are obtained with the help of a time-weight energy estimate. Meanwhile, we also establish the explicit decay rates of the solution of 2D Boussinesq equations.