6 papers
Non-implosion mechanism of 3D incompessible Euler equations
Wenjie Deng, Song Jiang, Minling Li +1
This paper studies the non-implosion mechanism for the 3D incompressible Euler equations. We prove that vorticity blows up in finite time, whereas the $(p\in…
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…
Structure stability of steady supersonic shear flow with inflow boundary conditions
Song Jiang, Chunhui Zhou
We study the existence and zero viscous limit of smooth solutions to steady compressible Navier-Stokes equations near plane shear flow between two moving parallel walls. Under the…