2 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
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…
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…