The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model

(2020) Rui Li et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Uniform regularity of the weak solution to higher-order Navier-Stokes-Cahn-Hilliard systems

(2020) Jiaojiao Pan et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Regularity criteria for Navier-Stokes-Allen-Cahn and related systems

(2019) Jishan Fan et al.   Frontiers of Mathematics in China

Unconditionally energy stable numerical schemes for phase-field vesicle membrane model

(2018) F. Guillén-González et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the existence and uniqueness of solution to a stochastic 2D Allen–Cahn–Navier–Stokes model

(2018) Theodore Tachim Medjo   Stochastics and Dynamics

Isogeometric Analysis of the Navier–Stokes–Cahn–Hilliard equations with application to incompressible two-phase flows

(2017) Babak S. Hosseini et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows

(2017) Yongyong Cai et al.   NUMERISCHE MATHEMATIK

Mixing rules and the Navier-Stokes-Cahn-Hilliard equations for compressible heat-conductive fluids

(2016) Matthias Kotschote   BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

On Fully Decoupled, Convergent Schemes for Diffuse Interface Models for Two-Phase Flow with General Mass Densities

(2016) Günther Grün et al.   Communications in Computational Physics

Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model

(2016) L. F. R. Espath et al.   JOURNAL OF FLUID MECHANICS

Global well-posedness and attractors for the hyperbolic Cahn–Hilliard–Oono equation in the whole space

(2016) Anton Savostianov et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials

(2015) Alain Miranville et al.   APPLICABLE ANALYSIS

Efficient energy stable numerical schemes for a phase field moving contact line model

(2015) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Decoupled energy stable schemes for phase-field vesicle membrane model

(2015) Rui Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Near equilibrium dynamics and one-dimensional spatial—temporal structures of polar active liquid crystals

(2014) Xiao-Gang Yang et al.   Chinese Physics B

Capillary instability of axisymmetric, active liquid crystal jets

(2014) Xiaogang Yang et al.   Soft Matter

Mass and Volume Conservation in Phase Field Models for Binary Fluids

(2012) Jie Shen et al.   Communications in Computational Physics

Global solutions for the 2D NS–CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility

(2012) Chongsheng Cao et al.   NONLINEARITY

Penalty finite element method for Navier-Stokes equations with nonlinear slip boundary conditions

(2011) Yuan Li et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

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

(2011) Qiaolin He et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows

(2010) Jie Shen et al.   CHINESE ANNALS OF MATHEMATICS SERIES B

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

(2010) Jie Shen et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

(2010) Jie Shen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Phase Field Model of Thermo-Induced Marangoni Effects in the Mixtures and its Numerical Simulations with Mixed Finite Element Method

(2009) Pengtao Sun et al.   Communications in Computational Physics

On the penalty-projection method for the Navier–Stokes equations with the MAC mesh

(2008) C. Févrière et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS