176 citations · 702 across the 41 of their papers we have counts for
43 papers
Low Mach number limit of the full Navier-Stokes equations with no-slip boundary conditions and large temperature variations
Xiaoyu Gu, Song Jiang, Qiangchang Ju +1
In this paper, we rigorously justify the low Mach number limit of the full compressible Navier-Stokes equations in a three-dimensional smooth bounded domain, subject to the no-slip…
Rayleigh-Taylor Instability in Stratified Compressible Fluids with/without the Interfacial Surface Tension
Fei Jiang, Han Jiang, Song Jiang
Guo--Tice formally established in 2011 that the Rayleigh--Taylor instability inevitably occurs within stratified compressible viscous fluids in a slab domain $\mathbb{R}^2\times (h…
Sharp interface limit for inhomogeneous incompressible Navier-Stokes/Allen-Cahn system in a bounded domain via a relative energy method
Song Jiang, Xiangxiang Su, Feng Xie
This paper concerns the sharp interface limit of solutions to the inhomogeneous incompressible Navier-Stokes/Allen-Cahn coupled system in a bounded domain $Ω\subset \mathbb{R}^n,\…
Stability and related zero viscosity limit of steady plane Poiseuille-Couette flows with no-slip boundary condtion
Song Jiang, Chunhui Zhou
We prove the existence and stability of smooth solutions to the steady Navier-Stokes equations near plane Poiseuille-Couette flow. Consequently, we also provide the zero viscosity…
Remarks on Sharp Interface Limit for an Incompressible Navier-Stokes and Allen-Cahn Coupled System
Song Jiang, Xiangxiang Su, Feng Xie
We are concerned with the sharp interface limit for an incompressible Navier-Stokes and Allen-Cahn coupled system in this paper. When the thickness of the diffuse interfacial zone,…
On Inhibition of Rayleigh--Taylor Instability by a Horizontal Magnetic Field in Non-resistive MHD Fluids: the Viscous Case
Fei Jiang, Song Jiang, Youyi Zhao
It is still open whether the phenomenon of inhibition of Rayleigh--Taylor (RT) instability by a horizontal magnetic field can be mathematically verified for a non-resistive \emph{v…