Publications (45)
Stability of Rarefaction Waves to the 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity
Quansen Jiu, Yi Wang, Zhouping Xin
In this paper, we study the asymptotic stability of rarefaction waves for the compressible isentropic Navier-Stokes equations with density-dependent viscosity. First, a weak soluti…
Decay of solutions to the three-dimensional generalized Navier-Stokes equations
Quansen Jiu, Huan Yu
In this paper, we first obtain the temporal decay estimates for weak solutions to the three dimensional generalized Navier-Stokes equations. Then, with these estimates at disposal,…
Well-Posedness of the Limiting Equation of a Noisy Consensus Model in Opinion Dynamics
Bernard Chazelle, Quansen Jiu, Qianxiao Li +1
This paper establishes the global well-posedness of the nonlinear Fokker-Planck equation for a noisy version of the Hegselmann-Krause model. The equation captures the mean-field be…
Finite time blow-up analysis for the generalized Proudman-Johnson model
Jie Guo, Quansen Jiu
In this paper, we study the generalized Proudman-Johnson equation posed on the torus. In the critical regime where the parameter is close to and slightly greater than 1, we est…
A new blow-up criterion for the 2D full compressible Navier-Stokes equations without heat conduction in a bounded domain
Jie Fan, Quansen Jiu
This paper is to derive a new blow-up criterion for the 2D full compressible Navier-Stokes equations without heat conduction in terms of the density and the pressure . More…
Stability and Instability on the De Gregorio Modification of the Constantin-Lax-Majda model
Jie Guo, Quansen Jiu
The Constantin-Lax-Majda (CLM) model and the De Gregorio model which is a modification of the CLM model are well-known for their ability to emulate the behavior of the 3D Euler equ…