9 citations · 20 across the 19 of their papers we have counts for
19 papers
Weak Martingale Solutions of the Stochastic Schrödinger-Poisson-Landau-Lifshitz-Gilbert System
Yurong Wei, Huaqiao Wang
The Schrödinger-Poisson-Landau-Lifshitz-Gilbert (SPLLG) system can characterize the spin transfer torque mechanism transferring the spin angular momentum to the magnetization dynam…
Weak solutions to the Hall-MHD equations whose singular sets in time have Hausdorff dimension strictly less than 1
Yi Peng, Huaqiao Wang
In this paper, we focus on the three-dimensional hyper viscous and resistive Hall-MHD equations on the torus, where the viscous and resistive exponent with a fixed…
Global well-posedness of smooth solutions to the Landau-Lifshitz-Slonczewski equation
Chenlu Zhang, Huaqiao Wang
In this paper, we mainly consider the global solvability of smooth solutions for the Cauchy problem of the three-dimensional Landau-Lifshitz-Slonczewski equation in the Morrey spac…
Global existence of strong solutions to the Landau-Lifshitz-Slonczewski equation
Chenlu Zhang, Huaqiao Wang
In this paper, we focus on the existence of strong solutions for the Cauchy problem of the three-dimensional Landau-Lifshitz-Slonczewski equation. We construct a new combination of…
Strong solutions of the Landau-Lifshitz-Bloch equation in Besov space
Yi Peng, Huaqiao Wang
We focus on the existence and uniqueness of the three-dimensional Landau-Lifshitz-Bloch equation supplemented with the initial data in Besov space . Ut…
On instability and stability of a quasi-linear hyperbolic-parabolic model for vasculogenesis
Qing Chen, Huaqiao Wang, Guochun Wu
In this paper, we are concerned with the instability and stability of a quasi-linear hyperbolic-parabolic system modeling vascular networks. Under the assumption that the pressure…
Stochastic Cahn-Hilliard-Navier-Stokes equations with the dynamic boundary: Martingale weak solution, Markov selection
Hongjun Gao, Zhaoyang Qiu, Huaqiao Wang
The existence of global martingale weak solution for the 2D and 3D stochastic Cahn-Hilliard-Navier-Stokes equations driven by multiplicative noise in a smooth bounded domain is est…
Rigorous derivation of the compressible Navier-Stokes equations from the two-fluid Navier-Stokes-Maxwell equations
Yi Peng, Huaqiao Wang
In this paper, we rigorously derive the compressible one-fluid Navier-Stokes equation from the scaled compressible two-fluid Navier-Stokes-Maxwell equations locally in time under t…
Global existence and decay rates for a generic compressible two-fluid model
Yin Li, Huaqiao Wang, Guochun Wu +1
We investigate global existence and optimal decay rates of a generic non-conservative compressible two--fluid model with general constant viscosities and capillary coefficients.The…
Martingale solutions for the compressible MHD systems with stochastic external forces
Huaqiao Wang
In this paper we consider the three-dimensional compressible MHD system with stochastic external forces in a bounded domain. We obtain the existence of martingale solution which is…
Well-posedness for the stochastic electrokinetic flow
Zhaoyang Qiu, Huaqiao Wang
We consider the stochastic electrokinetic flow in a smooth bounded domain , modelled by a Nernst-Planck-Navier-Stokes system with a blocking boundary conditions for io…
Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations
Yi Peng, Huaqiao Wang, Qiuju Xu
By using a set of scaling limits, the authors in \cite{ADFL,SS} proposed a framework of deriving the Hall-MHD equations from the two-fluids Euler-Maxwell equations for electrons an…
On non-resistive limit of 1D MHD equations with no vacuum at infinity
Zilai Li, Huaqiao Wang, Yulin Ye
In this paper, we consider the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity, but the initial vacuum…
Optimal decay rates of a non-conservative compressible two-phase fluid model
Huaqiao Wang, Juan Wang, Guochun Wu +1
We are concerned with the time decay rates of strong solutions to a non-conservative compressible viscous two-phase fluid model in the whole space R3. Compared to the previous rela…
Invariant measure for 2D stochastic Cahn-Hilliard-Navier-Stokes equations
Zhaoyang Qiu
Using the Maslowski and Seidler method, the existence of invariant measure for 2-dimensional stochastic Cahn-Hilliard-Navier-Stokes equations with multiplicative noise is proved in…
Well-posedness for the Cahn-Hilliard-Navier-Stokes equation with random initial data
Zhaoyang Qiu, Huaqiao Wang
In this paper, we consider the almost sure well-posedness of the Cauchy problem to the Cahn-Hilliard-Navier-Stokes equation with a randomization initial data on a torus $\mathbb{T}…
Asymptotic behavior for the 1-D stochastic Landau Lifshitz Bloch equation
Zhaoyang Qiu, Yanbin Tang, Huaqiao Wang
The stochastic Landau-Lifshitz-Bloch equation describes the phase spins in a ferromagnetic material and has significant role in simulating heat-assisted magnetic recording. In this…
Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Levy processes
Robin Ming Chen, Dehua Wang, Huaqiao Wang
In this paper, the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Lévy process consisting of the Brownian motion, the compensated Pois…
Existence of a martingale weak solution to the Equations of Non-Stationary Motion of Non-Newtonian Fluids with a stochastic perturbation
Zhong Tan, Huaqiao Wang, Yucong Wang
In this paper, we consider the stochastic %equations of incompressible non-Newtonian fluids driven by a cylindrical Wiener process with shear rate dependent on viscosity in a b…