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math.AP2025
Modulation approximation for the non-isentropic Euler-Poisson system
Huimin Liu, Xueke Pu
As a formal approximation, the nonlinear Schrödinger (NLS) equation can be derived to describe the evolution of the envelopes of small oscillating wave packets-like solutions to th…
math.AP2025
The bidirectional NLS approximation for the one-dimensional Euler-Poisson system
Huimin Liu, Yurui Lu, Xueke Pu
The nonlinear Schrödinger (NLS) equation is known as a universal equation describing the evolution of the envelopes of slowly modulated spatially and temporarily oscillating wave p…
math.AP2025
Linear stability analysis of the Couette flow for 2D compressible Navier-Stokes-Poisson system
Yurui Lu, Xueke Pu
In this paper, we study the linear stability of Couette flow for 2D compressible Navier-Stokes-Poisson system at high Reynolds number in the domain wit…