5 papers
On the global stability and large time behavior of solutions of the Boussinesq equations
Song Jiang, Quan Wang
We study the two dimensional viscous Boussinesq equations, which model stratified flows in a circular domain under the influence of a general gravitational potential . First, we…
On the large time behavior of the 2D inhomogeneous incompressible viscous flows
Song Jiang, Quan Wang
This paper studies the two-dimensional inhomogeneous Navier--Stokes equations governing stratified flows in a bounded domain under a gravitational potential \(f\). Our main results…
Stability and bifurcation of 2D viscous primitive equations with full diffusion
Song Jiang, Quan Wang
This paper investigates the stability and bifurcation of the two-dimensional viscous primitive equations with full diffusion under thermal forcing. The system governs perturbations…
Large-time behavior of solutions to the Boussinesq equations with partial dissipation and influence of rotation
Song Jiang, Quan Wang
This paper investigates the stability and large-time behavior of solutions to the rotating Boussinesq system under the influence of a general gravitational potential , which is…
On the Stability and Instability of Non-Homogeneous Fluid in a Bounded Domain Under the Influence of a General Potential
Liang Li, Tao Tan, Quan Wang
We investigate the instability and stability of specific steady-state solutions of the two-dimensional non-homogeneous, incompressible, and viscous Navier-Stokes equations under th…