4 papers
Low Mach number limit for the Navier--Stokes--Korteweg equations with a stationary force
Jinkai Ni, Luqi Wang, Yichi Zhang +1
In this paper, we investigate the low Mach number limit for the three-dimensional compressible Navier--Stokes--Korteweg equations in the whole space under a small stationary extern…
High Mach number limit of the compressible Navier--Stokes equations in critical Besov spaces
Jinkai Ni, Zhipeng Zhang
We investigate the high Mach number limit for the scaled compressible Navier--Stokes system in the critical Besov framework. In the scaled momentum equation, the pressure force is…
Nonlinear Stability of the Rayleigh-Taylor Problem in Quantum Navier-Stokes Equations
Fei Jiang, Yajie Zhang, Zhipeng Zhang +1
It is well-known that the Rayleigh--Taylor (abbr. RT) instability can be completely inhibited by the quantum effect stabilization in proper circumstances leading to a cutoff wavele…
On the Inhibition of Rayleigh Taylor Instability by Capillarity in the Navier Stokes Korteweg Model
Fei Jiang, Yajie Zhang, Zhipeng Zhang
Bresch--Desjardins--Gisclon--Sart had derived that the capillarity slows down the growth rate of Rayleigh--Taylor (RT) instability in an inhomogeneous incompressible fluid endowed…