55 citations · 133 across the 19 of their papers we have counts for
19 papers
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…
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…
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…
Linear stability analysis of the Couette flow for the 2D Euler-Poisson system
Xueke Pu, Wenli Zhou, Dongfen Bian
This paper is concerned with the linear stability analysis for the Couette flow of the Euler-Poisson system for both ionic fluid and electronic fluid in the domain $\bb{T}\times\bb…
Stability threshold for 2D shear flows near Couette of the Navier-Stokes equation
Dongfen Bian, Xueke Pu
In this paper, we consider the stability threshold of the 2D shear flow of the Navier-Stokes equation at high Reynolds number . When the shear flow is near in…
The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain
Xueke Pu, Wenli Zhou
In this paper, we improve the global existence result in [9] slightly. More precisely, the global existence of strong solutions to the primitive equations with only horizontal visc…
On the rigorous mathematical derivation for the viscous primitive equations with density stratification
Xueke Pu, Wenli Zhou
In this paper, we rigorously derive the governed equations describing the motion of stable stratified fluid, from the mathematical point of view. Specially, we prove that the scale…
Rigorous derivation of the full primitive equations by the scaled Boussinesq equations with rotation
Xueke Pu, Wenli Zhou
The primitive equations of large-scale oceanic dynamics form a fundamental model in geophysical flows. It is well-known that the primitive equations can be formally derived by the…
Stability threshold for 2D shear flows of the Boussinesq system near Couette
Dongfen Bian, Xueke Pu
In this paper, we consider the stability threshold for the shear flows of the Boussinesq system in a domain . The main goal is to prove the nonlinear…
Partial regularity to the Landau-Lifshitz equation with spin accumulation
Xueke Pu, Wendong Wang
In this paper, we consider a model for the spin-magnetization system that takes into account the diffusion process of the spin accumulation. This model consists of the Landau-Lifsh…
Justification of the NLS approximation for ion Euler-Poisson equation
Huimin Liu, Xueke Pu
The nonlinear Schrödinger (NLS) equation can be derived as a formal approximation equation describing the envelopes of slowly modulated spatially and temporarily oscillating wave p…
The QKP limit of the quantum Euler-Poisson equation
Huimin Liu, Xueke Pu
In this paper, we consider the derivation of the Kadomtsev-Petviashvili (KP) equation for cold ion-acoustic wave in the long wavelength limit of the two-dimensional quantum Euler-P…
The Landau-Lifshitz equation of the ferromagnetic spin chain and Oseen-Frank flow
Xueke Pu, Meng Wang, Wendong Wang
In this paper, we consider the Landau-Lifshitz equation of the ferromagnetic spin chain from to the unit sphere under the general Oseen-Frank energy. We obtain global…
Long wavelength limit for the quantum Euler-Poisson equation
Huimin Liu, Xueke Pu
In this paper, we consider the long wavelength limit for the quantum Euler-Poisson equation. Under the Gardner-Morikawa transform, we derive the quantum Korteweg-de Vries (KdV) equ…
Quasineutral limit for the quantum Navier-Stokes-Poisson equation
Min Li, Xueke Pu, Shu Wang
In this paper, we study the quasineutral limit and asymptotic behaviors for the quantum Navier-Stokes-Possion equation. We apply a formal expansion according to Debye length and de…
Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction
Xueke Pu, Boling Guo
The hydrodynamic equations with quantum effects are studied in this paper. First we establish the global existence of smooth solutions with small initial data and then in the secon…
Quasineutral limit of the Euler-Poisson equation for a cold, ion-acoustic plasma
Xueke Pu, Boling Guo
In this paper, we consider the quasineutral limit of the Euler-Poisson equation for a clod, ion-acoustic plasma when the Debye length tends to zero. When the ion-acoustic plasma is…
Dispersive Limit of the Euler-Poisson System in Higher Dimensions
Xueke Pu
In this paper, we consider the dispersive limit of the Euler-Poisson system for ion-acoustic waves. We establish that under the Gardner-Morikawa type transformations, the solutions…
KdV limit of the Euler-Poisson system
Yan Guo, Xueke Pu
Consider the scaling in the Euler-Poisson system for ion-acoustic waves \eqref{equ1}. We establish that as $\varepsilon\to…