An Iterative Thresholding Method for the Minimum Compliance Problem

An unconditionally stable threshold dynamics method for the Willmore flow

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 Iterative Thresholding Method for Topology Optimization for the Navier–Stokes Flow

A characteristic function-based algorithm for geodesic active contours

An energy-stable scheme for a 2D simple fluid-particle interaction problem

Correlation in thermal fluctuations induced by phase-locked hydrodynamic modes

Mean velocity and temperature profiles in turbulent Rayleigh-Bénard convection at low Prandtl numbers

An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem

Decomposing Thermal Fluctuations with Hydrodynamic Modes

Energy Decaying Phase-Field Model for Fluid-Particle Interaction in Two-Phase Flow

EXtended HDG Methods for Second Order Elliptic Interface Problems

Numerical Methods for Antiferromagnets

Theoretical analysis for dynamic contact angle hysteresis on chemically patterned surfaces

Two Improved Gauss-Seidel Projection Methods for Landau-Lifshitz-Gilbert Equation

A reduced model for domain wall dynamics in soft ferromagnets

An Efficient Boundary Integral Scheme for the Threshold Dynamics Method II: Applications to Wetting Dynamics

An Improved Threshold Dynamics Method for Wetting Dynamics

Analysis for Contact Angle Hysteresis on Rough Surfaces by a Phase-Field Model with a Relaxed Boundary Condition

Homogenization of Two-phase Fluid Flow in Porous Media via Volume Averaging

Mathematical Analysis of Surface Plasmon Resonance by a Nano-Gap in the Plasmonic Metal

A Lattice Boltzmann Model for Multiphase Flows with Moving Contact Line and Variable Density

A Least-squares/fictitious Domain Method for Incompressible Viscous Flow Around Obstacles With Navier Slip Boundary Condition

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 Fast Huygens Sweeping Method for Capturing Paraxial Multi-color Optical Self-focusing in Nematic Liquid Crystals

A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains

An efficient finite element method for simulation of droplet spreading on a topologically rough surface

An Efficient Iterative Thresholding Method for Image Segmentation

An Efficient Threshold Dynamics Method for Wetting on Rough Surfaces

Numerical Simulation of 2D Unsteady Shear-Thinning Non-Newtonian Incompressible Fluid in Screw Extruder with Fictitious Domain Method

The Dynamics of Three-phase Triple Junction and Contact Points

A Parallel Two-Phase Flow Solver on Unstructured Mesh in 3D

A Numerical Study of Three-dimensional Droplets Spreading on Chemically Patterned Surfaces

Phase field modeling and simulation of three-phase flow on solid surfaces

Phase field simulation of a droplet impacting a solid surface

A note on 'Spin-polarized transport: Existence of weak solutions'

Phase field simulation of drop formation in a coflowing fluid

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

An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity

Analysis of the Cahn-Hilliard Equation with a Relaxation Boundary Condition Modeling the Contact Angle Dynamics

Asymptotic stability of periodic solution for compressible viscous van der Waals fluids

Modeling and simulation of dynamics of three-component flows on solid surface

Non-Darcy behavior of two-phase channel flow

PHASE-FIELD MODELING AND SIMULATION OF THE ZONE MELTING PURIFICATION PROCESS

Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes

3D Adaptive Finite Element Method for a Phase Field Model for the Moving Contact Line Problems

Direct measurement of friction of a fluctuating contact line

Effective contact angle for rough boundary

The modified Cassie's equation and contact angle hysteresis

A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems

A gradient stable scheme for a phase field model for the moving contact line problem

Purification of phosphorus by a zero pollution zone melting technique

Stability of an efficient Navier-Stokes solver with Navier boundary condition

A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line

Analysis of wetting and contact angle hysteresis on chemically patterned surfaces

Dripping and jetting in coflowing liquid streams

Boundary layers in incompressible Navier-stokes equations with navier boundary conditions for the vanishing viscosity limit

DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE

Dynamics of domain wall in thin film driven by spin current

Hydrodynamic boundary conditions: An emergent behavior of fluid-solid interactions

Stick-Slip Motion of Moving Contact Line on Chemically Patterned Surfaces

Modeling and simulations for molecular scale hydrodynamics of the moving contact line in immiscible two-phase flows

Numerical study of the effect of Navier slip on the driven cavity flow

Precursor simulations in spreading using a multi-mesh adaptive finite element method

Moving Contact Line on Chemically Patterned Surfaces

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

Continuum Modelling of Nanoscale Hydrodynamics

Numerical Simulations of Singular Solutions of the Nonlinear Schrodinger Equations

Boundary layers of incompressible Fluids with Navier Boundary Conditions

Hydrodynamic Boundary Condition at the Fluid-solid Interface

Singular ring solutions of critical and supercritical nonlinear Schrodinger equations

Spin-polarized currents in ferromagnetic multilayers

Spin-polarized transport: Existence of weak solutions

A Variational Approach to Moving Contact Line Hydrodynamics

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

Moving contact line over undulating surfaces

Simulations of 3-D domain wall structures in thin films

Driven cavity flow: From molecular dynamics to continuum hydrodynamics

Hydrodynamic Slip Boundary Condition at Chemically Patterned Surfaces: A Continuum Deduction from Molecular Dynamics

New singular solutions of the nonlinear Schrodinger equation

Spin-dynamics simulation study of the field-induced phase transition for the spiral antiferromagnet Ba₂CuGe₂O₇

Numerical simulations of self focusing of ultrafast laser pulses

A three-dimensional adaptive method based on the iterative grid redistribution

Power-Law Slip Profile of the Moving Contact Line in Two-Phase Immiscible Flows

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

Slip Profile in Contact-line Motion

Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams

A Gauss-Seidel projection method for micromagnetics simulations

Invalidation of the slowly-varying envelope approximation and producing and eliminating of the spatial singularity for ultrashort pulsed-beam propagation in free space

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

An Iterative Grid Redistribution Method for Singular Problems in Multiple Dimensions

Numerical methods for the Landau-Lifshitz equation

Phase transition near a liquid-gas coexistence equilibrium

The global attractor of a dissipative nonlinear evolution system

Transport equations for a general class of evolution equations with random perturbations

Dissipative nonlinear evolution equations and chaos

On the existence of nontrivial solutions for a scalar "light-nematic" system and its Frederiks transition threshold

Periodic structures in a van der Waals fluid

Initial time layers and Kadomtsev-Petviashvili-type equations

Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation

Phase transition in van der Waals fluid

On hydrodynamic instabilities, chaos and phase transition

On hydrodynamic instabilities, chaos and phase transition

A PARAXIAL MODEL FOR OPTICAL SELF-FOCUSING IN A NEMATIC LIQUID-CRYSTAL

Focusing singularities of Davey-Stewartson equations for gravity capillary waves

Wave collapse and instability of solitary waves of a generalized nonlinear Kadomtsev-Petviashvili equation

Dynamic rescaling for tracking point singularities: application to Nonlinear Schrodinger Equation and related problems

Stability of Isotropic self-similar dynamics for scalar wave collapse

Singular solutions of the Zakharov equations for Langmuir turbulence

Stability of Isotropic Singularities for the Nonlinear Schrodinger Equation

A Dynamic Theory for Contact Angle Hysteresis on Chemically Rough Boundary

Article

A Fast Huygens Sweeping Method for Capturing Paraxial Multi-color Optical Self-focusing in Nematic Liquid Crystals

Article

A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains

Article

An efficient finite element method for simulation of droplet spreading on a topologically rough surface

Article

An Efficient Iterative Thresholding Method for Image Segmentation

Article

An Efficient Threshold Dynamics Method for Wetting on Rough Surfaces

Article

Numerical Simulation of 2D Unsteady Shear-Thinning Non-Newtonian Incompressible Fluid in Screw Extruder with Fictitious Domain Method

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

An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity

Article

Analysis of the Cahn-Hilliard Equation with a Relaxation Boundary Condition Modeling the Contact Angle Dynamics

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

A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems

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

A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line

Article

Analysis of wetting and contact angle hysteresis on chemically patterned surfaces

Article

Dripping and jetting in coflowing liquid streams

Conference paper

Boundary layers in incompressible Navier-stokes equations with navier boundary conditions for the vanishing viscosity limit

Article

DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE

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

Modeling and simulations for molecular scale hydrodynamics of the moving contact line in immiscible two-phase flows

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

Hydrodynamic Slip Boundary Condition at Chemically Patterned Surfaces: A Continuum Deduction from Molecular Dynamics

Article

New singular solutions of the nonlinear Schrodinger equation

Article

Spin-dynamics simulation study of the field-induced phase transition for the spiral antiferromagnet Ba₂CuGe₂O₇

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

Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams

Article

A Gauss-Seidel projection method for micromagnetics simulations

Article

Invalidation of the slowly-varying envelope approximation and producing and eliminating of the spatial singularity for ultrashort pulsed-beam propagation in free space

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

On the existence of nontrivial solutions for a scalar "light-nematic" system and its Frederiks transition threshold

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

A PARAXIAL MODEL FOR OPTICAL SELF-FOCUSING IN A NEMATIC LIQUID-CRYSTAL

Article

Focusing singularities of Davey-Stewartson equations for gravity capillary waves

Article

Wave collapse and instability of solitary waves of a generalized nonlinear Kadomtsev-Petviashvili equation

Article

Dynamic rescaling for tracking point singularities: application to Nonlinear Schrodinger Equation and related problems

Article

Stability of Isotropic self-similar dynamics for scalar wave collapse

Article

Singular solutions of the Zakharov equations for Langmuir turbulence

Article

Stability of Isotropic Singularities for the Nonlinear Schrodinger Equation

Article