PhD in Mathematics
New York University, 1990
An Iterative Thresholding Method for the Minimum Compliance Problem
Article
An unconditionally stable threshold dynamics method for the Willmore flow
Article
An Efficient Iterative Method for the Formulation of Flow Networks
Article
An efficient threshold dynamics method for topology optimization for fluids
Article
Fluctuation-induced slip of thermal boundary layers at a stable liquid–liquid interface
Article
The iterative convolution-thresholding method (ICTM) for image segmentation
Article
An Iterative Thresholding Method for Topology Optimization for the Navier–Stokes Flow
Conference paper
A characteristic function-based algorithm for geodesic active contours
Article
An energy-stable scheme for a 2D simple fluid-particle interaction problem
Article
Correlation in thermal fluctuations induced by phase-locked hydrodynamic modes
Article
Article
An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem
Article
Decomposing Thermal Fluctuations with Hydrodynamic Modes
Article
Energy Decaying Phase-Field Model for Fluid-Particle Interaction in Two-Phase Flow
Article
EXtended HDG Methods for Second Order Elliptic Interface Problems
Article
Numerical Methods for Antiferromagnets
Article
Theoretical analysis for dynamic contact angle hysteresis on chemically patterned surfaces
Article
Two Improved Gauss-Seidel Projection Methods for Landau-Lifshitz-Gilbert Equation
Article
A reduced model for domain wall dynamics in soft ferromagnets
Article
Article
An Improved Threshold Dynamics Method for Wetting Dynamics
Article
Article
Homogenization of Two-phase Fluid Flow in Porous Media via Volume Averaging
Article
Mathematical Analysis of Surface Plasmon Resonance by a Nano-Gap in the Plasmonic Metal
Article
A Lattice Boltzmann Model for Multiphase Flows with Moving Contact Line and Variable Density
Article
Article
A Numerical Study of Fluid-Particle Interaction with Slip Boundary Condition
Article
An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT
Article
Boundary Layer Fluctuations in Turbulent Rayleigh–Bénard Convection
Article
Discontinuous Galerkin Method with Staggered Hybridization for a Class of Nonlinear Stokes Equations
Article
On the Motion of Shear-Thinning Heat-Conducting Incompressible Fluid-Rigid System
Article
A Dynamic Theory for Contact Angle Hysteresis on Chemically Rough Boundary
Article
Article
A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains
Article
Article
An Efficient Iterative Thresholding Method for Image Segmentation
Article
An Efficient Threshold Dynamics Method for Wetting on Rough Surfaces
Article
Article
The Dynamics of Three-phase Triple Junction and Contact Points
Article
A Parallel Two-Phase Flow Solver on Unstructured Mesh in 3D
Conference paper
A Numerical Study of Three-dimensional Droplets Spreading on Chemically Patterned Surfaces
Article
Phase field modeling and simulation of three-phase flow on solid surfaces
Article
Phase field simulation of a droplet impacting a solid surface
Article
A note on 'Spin-polarized transport: Existence of weak solutions'
Article
Phase field simulation of drop formation in a coflowing fluid
Article
A numerical method for a model of two-phase flow in a coupled free flow and porous media system
Article
A one-domain approach for modeling and simulation of free fluid over a porous medium
Article
Article
Article
Asymptotic stability of periodic solution for compressible viscous van der Waals fluids
Article
Modeling and simulation of dynamics of three-component flows on solid surface
Article
Non-Darcy behavior of two-phase channel flow
Article
PHASE-FIELD MODELING AND SIMULATION OF THE ZONE MELTING PURIFICATION PROCESS
Article
Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes
Article
3D Adaptive Finite Element Method for a Phase Field Model for the Moving Contact Line Problems
Article
Direct measurement of friction of a fluctuating contact line
Article
Effective contact angle for rough boundary
Article
The modified Cassie's equation and contact angle hysteresis
Article
Article
A gradient stable scheme for a phase field model for the moving contact line problem
Article
Purification of phosphorus by a zero pollution zone melting technique
Article
Stability of an efficient Navier-Stokes solver with Navier boundary condition
Article
Article
Analysis of wetting and contact angle hysteresis on chemically patterned surfaces
Article
Dripping and jetting in coflowing liquid streams
Conference paper
Article
Article
Dynamics of domain wall in thin film driven by spin current
Article
Hydrodynamic boundary conditions: An emergent behavior of fluid-solid interactions
Article
Stick-Slip Motion of Moving Contact Line on Chemically Patterned Surfaces
Article
Article
Numerical study of the effect of Navier slip on the driven cavity flow
Article
Precursor simulations in spreading using a multi-mesh adaptive finite element method
Article
Moving Contact Line on Chemically Patterned Surfaces
Article
The effect of the boundary slip on the stability of shear flow
Article
The Sharp Interface Limit of a Phase Field Model for Moving Contact Line Problem
Article
Continuum Modelling of Nanoscale Hydrodynamics
Book chapter
Numerical Simulations of Singular Solutions of the Nonlinear Schrodinger Equations
Book chapter
Boundary layers of incompressible Fluids with Navier Boundary Conditions
Conference paper
Hydrodynamic Boundary Condition at the Fluid-solid Interface
Article
Singular ring solutions of critical and supercritical nonlinear Schrodinger equations
Article
Spin-polarized currents in ferromagnetic multilayers
Article
Spin-polarized transport: Existence of weak solutions
Article
A Variational Approach to Moving Contact Line Hydrodynamics
Article
Advances in numerical micromagnetics: Spin-Polarized Transport
Article
Instability of standing waves of the Schrodinger equation with inhomogeneous nonlinearity
Article
Micromagnetic simulations of demagnetization curves for single-phase nanocrystalline PrFeB magnet
Article
Molecular Hydrodynamics of the Moving Contact Line in Two-phase Immiscible Flows
Article
Moving contact line over undulating surfaces
Article
Simulations of 3-D domain wall structures in thin films
Article
Driven cavity flow: From molecular dynamics to continuum hydrodynamics
Article
Article
New singular solutions of the nonlinear Schrodinger equation
Article
Article
Numerical simulations of self focusing of ultrafast laser pulses
Conference paper
A three-dimensional adaptive method based on the iterative grid redistribution
Article
Power-Law Slip Profile of the Moving Contact Line in Two-Phase Immiscible Flows
Article
Generalized Navier Boundary Condition for the Moving Contact Line
Article
Molecular Scale Contact Line Hydrodynamics of Immiscible Flows
Article
Numerical simulations of self-focusing of ultrafast laser pulses
Article
Stability of bound states for the nonlinear Schrodinger equations with inhomogeneous nonlinearities
Article
Stability of solitary waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities
Article
Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling
Article
Slip Profile in Contact-line Motion
Conference paper
Article
A Gauss-Seidel projection method for micromagnetics simulations
Article
Article
超短脉冲光束传输缓变包络近似理论的失效和空间奇异性的形成与消除
Article
An Iterative Grid Redistribution Method for Singular Problems in Multiple Dimensions
Article
Numerical methods for the Landau-Lifshitz equation
Article
Phase transition near a liquid-gas coexistence equilibrium
Article
The global attractor of a dissipative nonlinear evolution system
Article
Transport equations for a general class of evolution equations with random perturbations
Article
Dissipative nonlinear evolution equations and chaos
Article
Article
Periodic structures in a van der Waals fluid
Article
Initial time layers and Kadomtsev-Petviashvili-type equations
Article
Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
Article
Phase transition in van der Waals fluid
Article
On hydrodynamic instabilities, chaos and phase transition
Article
On hydrodynamic instabilities, chaos and phase transition
Article
Focusing singularities of Davey-Stewartson equations for gravity capillary waves
Article
Article
An Efficient Iterative Method for the Formulation of Flow Networks
An efficient threshold dynamics method for topology optimization for fluids
Fluctuation-induced slip of thermal boundary layers at a stable liquid–liquid interface
The iterative convolution-thresholding method (ICTM) for image segmentation
An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem
Energy Decaying Phase-Field Model for Fluid-Particle Interaction in Two-Phase Flow
EXtended HDG Methods for Second Order Elliptic Interface Problems
Theoretical analysis for dynamic contact angle hysteresis on chemically patterned surfaces
Two Improved Gauss-Seidel Projection Methods for Landau-Lifshitz-Gilbert Equation
A Lattice Boltzmann Model for Multiphase Flows with Moving Contact Line and Variable Density
A Numerical Study of Fluid-Particle Interaction with Slip Boundary Condition
An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT
Boundary Layer Fluctuations in Turbulent Rayleigh–Bénard Convection
Discontinuous Galerkin Method with Staggered Hybridization for a Class of Nonlinear Stokes Equations
On the Motion of Shear-Thinning Heat-Conducting Incompressible Fluid-Rigid System
A Dynamic Theory for Contact Angle Hysteresis on Chemically Rough Boundary
A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains
An Efficient Iterative Thresholding Method for Image Segmentation
An Efficient Threshold Dynamics Method for Wetting on Rough Surfaces
The Dynamics of Three-phase Triple Junction and Contact Points
A numerical method for a model of two-phase flow in a coupled free flow and porous media system
A one-domain approach for modeling and simulation of free fluid over a porous medium
Asymptotic stability of periodic solution for compressible viscous van der Waals fluids
Modeling and simulation of dynamics of three-component flows on solid surface
PHASE-FIELD MODELING AND SIMULATION OF THE ZONE MELTING PURIFICATION PROCESS
Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes
The effect of the boundary slip on the stability of shear flow
The Sharp Interface Limit of a Phase Field Model for Moving Contact Line Problem
Boundary layers of incompressible Fluids with Navier Boundary Conditions
Advances in numerical micromagnetics: Spin-Polarized Transport
Instability of standing waves of the Schrodinger equation with inhomogeneous nonlinearity
Micromagnetic simulations of demagnetization curves for single-phase nanocrystalline PrFeB magnet
Molecular Hydrodynamics of the Moving Contact Line in Two-phase Immiscible Flows
Driven cavity flow: From molecular dynamics to continuum hydrodynamics
New singular solutions of the nonlinear Schrodinger equation
Numerical simulations of self focusing of ultrafast laser pulses
Generalized Navier Boundary Condition for the Moving Contact Line
Molecular Scale Contact Line Hydrodynamics of Immiscible Flows
Numerical simulations of self-focusing of ultrafast laser pulses
Stability of bound states for the nonlinear Schrodinger equations with inhomogeneous nonlinearities
Stability of solitary waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities
Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling
A Dynamic Theory for Contact Angle Hysteresis on Chemically Rough Boundary
Article
Article
A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains
Article
Article
An Efficient Iterative Thresholding Method for Image Segmentation
Article
An Efficient Threshold Dynamics Method for Wetting on Rough Surfaces
Article
Article
The Dynamics of Three-phase Triple Junction and Contact Points
Article
A Parallel Two-Phase Flow Solver on Unstructured Mesh in 3D
Conference paper
A Numerical Study of Three-dimensional Droplets Spreading on Chemically Patterned Surfaces
Article
Phase field modeling and simulation of three-phase flow on solid surfaces
Article
Phase field simulation of a droplet impacting a solid surface
Article
A note on 'Spin-polarized transport: Existence of weak solutions'
Article
Phase field simulation of drop formation in a coflowing fluid
Article
A numerical method for a model of two-phase flow in a coupled free flow and porous media system
Article
A one-domain approach for modeling and simulation of free fluid over a porous medium
Article
Article
Article
Asymptotic stability of periodic solution for compressible viscous van der Waals fluids
Article
Modeling and simulation of dynamics of three-component flows on solid surface
Article
Non-Darcy behavior of two-phase channel flow
Article
PHASE-FIELD MODELING AND SIMULATION OF THE ZONE MELTING PURIFICATION PROCESS
Article
Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes
Article
3D Adaptive Finite Element Method for a Phase Field Model for the Moving Contact Line Problems
Article
Direct measurement of friction of a fluctuating contact line
Article
Effective contact angle for rough boundary
Article
The modified Cassie's equation and contact angle hysteresis
Article
Article
A gradient stable scheme for a phase field model for the moving contact line problem
Article
Purification of phosphorus by a zero pollution zone melting technique
Article
Stability of an efficient Navier-Stokes solver with Navier boundary condition
Article
Article
Analysis of wetting and contact angle hysteresis on chemically patterned surfaces
Article
Dripping and jetting in coflowing liquid streams
Conference paper
Article
Article
Dynamics of domain wall in thin film driven by spin current
Article
Hydrodynamic boundary conditions: An emergent behavior of fluid-solid interactions
Article
Stick-Slip Motion of Moving Contact Line on Chemically Patterned Surfaces
Article
Article
Numerical study of the effect of Navier slip on the driven cavity flow
Article
Precursor simulations in spreading using a multi-mesh adaptive finite element method
Article
Moving Contact Line on Chemically Patterned Surfaces
Article
The effect of the boundary slip on the stability of shear flow
Article
The Sharp Interface Limit of a Phase Field Model for Moving Contact Line Problem
Article
Continuum Modelling of Nanoscale Hydrodynamics
Book chapter
Numerical Simulations of Singular Solutions of the Nonlinear Schrodinger Equations
Book chapter
Boundary layers of incompressible Fluids with Navier Boundary Conditions
Conference paper
Hydrodynamic Boundary Condition at the Fluid-solid Interface
Article
Singular ring solutions of critical and supercritical nonlinear Schrodinger equations
Article
Spin-polarized currents in ferromagnetic multilayers
Article
Spin-polarized transport: Existence of weak solutions
Article
A Variational Approach to Moving Contact Line Hydrodynamics
Article
Advances in numerical micromagnetics: Spin-Polarized Transport
Article
Instability of standing waves of the Schrodinger equation with inhomogeneous nonlinearity
Article
Micromagnetic simulations of demagnetization curves for single-phase nanocrystalline PrFeB magnet
Article
Molecular Hydrodynamics of the Moving Contact Line in Two-phase Immiscible Flows
Article
Moving contact line over undulating surfaces
Article
Simulations of 3-D domain wall structures in thin films
Article
Driven cavity flow: From molecular dynamics to continuum hydrodynamics
Article
Article
New singular solutions of the nonlinear Schrodinger equation
Article
Article
Numerical simulations of self focusing of ultrafast laser pulses
Conference paper
A three-dimensional adaptive method based on the iterative grid redistribution
Article
Power-Law Slip Profile of the Moving Contact Line in Two-Phase Immiscible Flows
Article
Generalized Navier Boundary Condition for the Moving Contact Line
Article
Molecular Scale Contact Line Hydrodynamics of Immiscible Flows
Article
Numerical simulations of self-focusing of ultrafast laser pulses
Article
Stability of bound states for the nonlinear Schrodinger equations with inhomogeneous nonlinearities
Article
Stability of solitary waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities
Article
Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling
Article
Slip Profile in Contact-line Motion
Conference paper
Article
A Gauss-Seidel projection method for micromagnetics simulations
Article
Article
超短脉冲光束传输缓变包络近似理论的失效和空间奇异性的形成与消除
Article
An Iterative Grid Redistribution Method for Singular Problems in Multiple Dimensions
Article
Numerical methods for the Landau-Lifshitz equation
Article
Phase transition near a liquid-gas coexistence equilibrium
Article
The global attractor of a dissipative nonlinear evolution system
Article
Transport equations for a general class of evolution equations with random perturbations
Article
Dissipative nonlinear evolution equations and chaos
Article
Article
Periodic structures in a van der Waals fluid
Article
Initial time layers and Kadomtsev-Petviashvili-type equations
Article
Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
Article
Phase transition in van der Waals fluid
Article
On hydrodynamic instabilities, chaos and phase transition
Article
On hydrodynamic instabilities, chaos and phase transition
Article
Focusing singularities of Davey-Stewartson equations for gravity capillary waves
Article
Article
MATH2011 | Introduction to Multivariable Calculus |
MATH6380V | Numerical Methods for Interface Problems |
MATH6914P | Reading Course: Numerical Methods for Incompressible Fluid Flow |
MATH4999 | Independent Capstone Project |
MATH5311 | Advanced Numerical Methods I |
No Teaching Assignments |
No Teaching Assignments |
No Teaching Assignments |
No Teaching Assignments |
GAO, Xuanzhao
(co-supervision)
Individualized Interdisciplinary Program (Advanced Materials)
CEN, Luyu
Mathematics( Completed in 2023 )
FANG, Zheyue
Mathematics( Completed in 2023 )
PENG, Xiaonan
Mathematics( Completed in 2023 )
HU, Wei
Mathematics( Completed in 2020 )
XU, Wei
(co-supervision)
Nano Science and Technology( Completed in 2020 )
HU, Yulin
Mathematics( Completed in 2021 )
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