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math.AP2025
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…
math.AP2025
Small Alfvén Number Limit for the Global-in-time Solutions of Incompressible MHD Equations with General Initial Data
Yuan Cai, Xiufang Cui, Fei Jiang +1
The small Alfvén number (denoted by ) limit (one type of large parameter limits, i.e. singular limits) in magnetohydrodynamic (abbr. MHD) equations was first proposed…
math.AP2024
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…