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math.AP2022
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…
math.AP2022★ 1 cited
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,…
math.AP2022
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…