55 citations · 133 across the 19 of their papers we have counts for
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math.AP2015★ 17 cited
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…
math-ph2015
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…
math-ph2015★ 31 cited
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…