Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions

An Efficient and Convergent Finite Element Scheme for Cahn--Hilliard Equations with Dynamic Boundary Conditions

(2021) Stefan Metzger   SIAM JOURNAL ON NUMERICAL ANALYSIS

On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization

(2021) Patrik Knopf et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Numerical Approximations and Error Analysis of the Cahn–Hilliard Equation with Reaction Rate Dependent Dynamic Boundary Conditions

(2021) Xuelian Bao et al.   JOURNAL OF SCIENTIFIC COMPUTING

Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions

(2021) Paula Harder et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

On second-order and fourth-order elliptic systems consisting of bulk and surface PDEs: Well-posedness, regularity theory and eigenvalue problems

(2021) Patrik Knopf et al.   INTERFACES AND FREE BOUNDARIES

Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach

(2020) Harald Garcke et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions

(2020) Patrik Knopf et al.   NONLINEARITY

Long-time dynamics for a Cahn–Hilliard tumor growth model with chemotaxis

(2020) Harald Garcke et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

On a transmission problem for equation and dynamic boundary condition of Cahn–Hilliard type with nonsmooth potentials

(2020) Pierluigi Colli et al.   MATHEMATISCHE NACHRICHTEN

An Energetic Variational Approach for the Cahn–Hilliard Equation with Dynamic Boundary Condition: Model Derivation and Mathematical Analysis

(2019) Chun Liu et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Higher-order Cahn–Hilliard equations with dynamic boundary conditions

(2017) Rosa Maria Mininni et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A class of quasi-linear Allen–Cahn type equations with dynamic boundary conditions

(2017) Pierluigi Colli et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Cahn–Hilliard equation with dynamic boundary conditions and mass constraint on the boundary

(2015) Pierluigi Colli et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Non-isothermal viscous Cahn-Hilliard equation with inertial term and dynamic boundary conditions

(2014) Cecilia Cavaterra et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

On the Cahn–Hilliard equation with dynamic boundary conditions and a dominating boundary potential

(2014) Pierluigi Colli et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Singular limit of viscous Cahn-Hilliard equations with memory and dynamic boundary conditions

(2013) Ciprian G. Gal et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Well-posedness and long time behavior of the non-isothermal viscous Cahn-Hilliard equation with dynamic boundary conditions

(2013) Ciprian Gal   Dynamics of Partial Differential Equations

Passing from bulk to bulk-surface evolution in the Allen–Cahn equation

(2012) Matthias Liero   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

The Cahn-Hilliard Equation with Logarithmic Potentials

(2011) Laurence Cherfils et al.   Milan Journal of Mathematics

Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

(2010) Gianni Gilardi et al.   CHINESE ANNALS OF MATHEMATICS SERIES B

Asymptotic behavior of a Cahn-Hilliard equation with Wentzell boundary conditions and mass conservation

(2010) Ciprian Gal et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions

(2010) Alain Miranville et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

A Cahn–Hilliard model in a domain with non-permeable walls

(2010) Gisèle Ruiz Goldstein et al.   PHYSICA D-NONLINEAR PHENOMENA