107 citations · 871 across the 26 of their papers we have counts for
25 papers · 1 filter
Separation property and convergence to equilibrium for the equation and dynamic boundary condition of Cahn-Hilliard type with singular potential
Takeshi Fukao, Hao Wu
We consider a class of Cahn-Hilliard equation that models phase separation process of binary mixtures involving nontrivial boundary interactions in a bounded domain with non-permea…
On a Class of Sixth-order Cahn-Hilliard Type Equations with Logarithmic Potential
Giulio Schimperna, Hao Wu
We consider a class of six-order Cahn-Hilliard equations with logarithmic type potential. This system is closely connected with some important phase-field models relevant in differ…
On a transmission problem for equation and dynamic boundary condition of Cahn-Hilliard type with nonsmooth potentials
Pierluigi Colli, Takeshi Fukao, Hao Wu
This paper is concerned with well-posedness of the Cahn-Hilliard equation subject to a class of new dynamic boundary conditions. The system was recently derived in Liu-Wu (Arch. Ra…
Long-time Dynamics and Optimal Control of a Diffuse Interface Model for Tumor Growth
Cecilia Cavaterra, Elisabetta Rocca, Hao Wu
We investigate the long-time dynamics and optimal control problem of a diffuse interface model that describes the growth of a tumor in presence of a nutrient and surrounded by host…
Global Well-posedness of the Two Dimensional Beris-Edwards System with General Laudau-de Gennes Free Energy
Yuning Liu, Hao Wu, Xiang Xu
In this paper, we consider the Beris-Edwards system for incompressible nematic liquid crystal flows. The system under investigation consists of the Navier-Stokes equations for the…
Optimal Distributed Control of a Cahn-Hilliard-Darcy System with Mass Sources
Juergen Sprekels, Hao Wu
In this paper, we study an optimal control problem for a two-dimensional Cahn-Hilliard-Darcy system with mass sources that arises in the modeling of tumor growth. The aim is to mon…
An Energetic Variational Approach for the Cahn--Hilliard Equation with Dynamic Boundary Condition: Model Derivation and Mathematical Analysis
Chun Liu, Hao Wu
The Cahn--Hilliard equation is a fundamental model that describes phase separation processes of binary mixtures. In recent years, several types of dynamic boundary conditions have…
Blow-up for a Three Dimensional Keller-Segel Model with Consumption of Chemoattractant
Jie Jiang, Hao Wu, Songmu Zheng
We investigate blow-up properties for the initial-boundary value problem of a Keller-Segel model with consumption of chemoattractant when the spatial dimension is three. Through a…
Global Existence and Asymptotic Behavior of Solutions to a Chemotaxis-Fluid System on General Bounded Domain
Jie Jiang, Hao Wu, Songmu Zheng
In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain (), not neces…
Well-posedness and long-time behavior of a non-autonomous Cahn-Hilliard-Darcy system with mass source modeling tumor growth
Jie Jiang, Hao Wu, Songmu Zheng
In this paper, we study an initial boundary value problem of the Cahn-Hilliard-Darcy system with a non-autonomous mass source term that models tumor growth. We first prove the…
Well-posedness of a diffuse-interface model for two-phase incompressible flows with thermo-induced Marangoni effect
Hao Wu
We investigate a non-isothermal diffuse-interface model that describes the dynamics of two-phase incompressible flows with thermo-induced Marangoni effect. The governing PDE system…
Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry
Daozhi Han, Xiaoming Wang, Hao WU
We study the well-posedness of a coupled Cahn-Hilliard-Stokes-Darcy system which is a diffuse-interface model for essentially immiscible two phase incompressible flows with matched…
Well-posedness and longtime behavior for the modified phase-field crystal equation
Maurizio Grasselli, Hao Wu
We consider a modification of the so-called phase-field crystal (PFC) equation introduced by K.R. Elder et al. This variant has recently been proposed by P. Stefanovic et al. to di…
Diffusion limit of kinetic equations for multiple species charged particles
Hao Wu, Tai-Chia Lin, Chun Liu
In ionic solutions, there are multi-species charged particles (ions) with different properties like mass, charge etc. Macroscopic continuum models like the Poisson-Nernst-Planck (P…
Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows
Cecilia Cavaterra, Elisabetta Rocca, Hao Wu
In this paper we investigate the three dimensional general Ericksen-Leslie (E--L) system with Ginzburg-Landau type approximation modeling nematic liquid crystal flows. First, by ov…
Finite--dimensional global attractor for a system modeling the 2D nematic liquid crystal flow
Maurizio Grasselli, Hao Wu
We consider a 2D system that models the nematic liquid crystal flow through the Navier--Stokes equations suitably coupled with a transport-reaction-diffusion equation for the avera…
Global solution to the three-dimensional compressible flow of liquid crystals
Xianpeng Hu, Hao Wu
The Cauchy problem for the three-dimensional compressible flow of nematic liquid crystals is considered. Existence and uniqueness of the global strong solution are established in c…
Analysis of a diffuse-interface model for the binary viscous incompressible fluids with thermo-induced Marangoni effects
Hao Wu, Xiang Xu
In this paper we study the well-posedness and long-time dynamics of a diffuse-interface model for the mixture of two viscous incompressible Newtonian fluids with thermo-induced Mar…
Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals
Xianpeng Hu, Hao Wu
We study the long-time behavior of global strong solutions to a hydrodynamic system for nonhomogeneous incompressible nematic liquid crystal flows driven by two types of external f…
Global solution to the drift-diffusion-Poisson system for semiconductors with nonlinear recombination-generation rate
Hao Wu, Jie Jiang
In this paper, we study the Cauchy problem of a time-dependent drift-diffusion-Poisson system for semiconductors. Existence and uniqueness of global weak solutions are proven for t…
On the General Ericksen-Leslie System: Parodi's Relation, Well-posedness and Stability
Hao Wu, Xiang Xu, Chun Liu
In this paper we investigate the role of Parodi's relation in the well-posedness and stability of the general Ericksen-Leslie system modeling nematic liquid crystal flows. First, w…
Global existence for the generalized two-component Hunter-Saxton system
Hao Wu, Marcus Wunsch
We study the global existence of solutions to a two-component generalized Hunter-Saxton system in the periodic setting. We first prove a persistence result of the solutions. Then f…
Asymptotic Behavior for a Nematic Liquid Crystal Model with Different Kinematic Transport Properties
Hao Wu, Xiang Xu, Chun Liu
We study the asymptotic behavior of global solutions to hydrodynamical systems modeling the nematic liquid crystal flows under kinematic transports for molecules of different shape…
Long-time Behavior for a Nonlinear Plate Equation with Thermal Memory
Hao Wu
We consider a nonlinear plate equation with thermal memory effects due to non-Fourier heat flux laws. First we prove the existence and uniqueness of global solutions as well as the…