Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions
ESAIM: M2AN, 55 1 (2021) 229-282
Published online: 2021-02-18
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions
Patrik Knopf and Jonas StangeNonlinear Differential Equations and Applications NoDEA 31 (5) (2024)
https://doi.org/10.1007/s00030-024-00970-3
(2024)
https://doi.org/10.2139/ssrn.4944133
Two-phase flows through porous media described by a Cahn–Hilliard–Brinkman model with dynamic boundary conditions
Pierluigi Colli, Patrik Knopf, Giulio Schimperna and Andrea SignoriJournal of Evolution Equations 24 (4) (2024)
https://doi.org/10.1007/s00028-024-00999-y
Bifurcation Analysis Reveals Solution Structures of Phase Field Models
Xinyue Evelyn Zhao, Long-Qing Chen, Wenrui Hao and Yanxiang ZhaoCommunications on Applied Mathematics and Computation 6 (1) 64 (2024)
https://doi.org/10.1007/s42967-022-00221-1
Efficient energy stable numerical schemes for Cahn–Hilliard equations with dynamical boundary conditions
Xinyu Liu, Jie Shen and Nan ZhengJournal of Computational Physics 509 113037 (2024)
https://doi.org/10.1016/j.jcp.2024.113037
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source
Kei Fong Lam and Ru WangJournal of Numerical Mathematics 32 (3) 233 (2024)
https://doi.org/10.1515/jnma-2023-0021
A ternary mixture model with dynamic boundary conditions
Shuang Liu, Yue Wu and Xueping ZhaoMathematical Biosciences and Engineering 21 (2) 2050 (2024)
https://doi.org/10.3934/mbe.2024091
Splitting schemes for the semi-linear wave equation with dynamic boundary conditions
R. AltmannComputers & Mathematics with Applications 151 12 (2023)
https://doi.org/10.1016/j.camwa.2023.09.018
A continuum framework for phase field with bulk-surface dynamics
Luis EspathPartial Differential Equations and Applications 4 (1) (2023)
https://doi.org/10.1007/s42985-022-00218-8
Structure-preserving schemes for Cahn–Hilliard equations with dynamic boundary conditions
Makoto Okumura and Takeshi FukaoDiscrete and Continuous Dynamical Systems - S (2023)
https://doi.org/10.3934/dcdss.2023207
A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions
Stefan MetzgerIMA Journal of Numerical Analysis 43 (6) 3593 (2023)
https://doi.org/10.1093/imanum/drac078
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions
Kerrek StinsonJournal of Nonlinear Science 33 (5) (2023)
https://doi.org/10.1007/s00332-023-09927-9
Dissipation-preserving discretization of the Cahn–Hilliard equation with dynamic boundary conditions
R. Altmann and C. ZimmerApplied Numerical Mathematics 190 254 (2023)
https://doi.org/10.1016/j.apnum.2023.04.012
Coupled chemical reactions: Effects of electric field, diffusion, and boundary control
Shixin Xu, Robert Eisenberg, Zilong Song and Huaxiong HuangPhysical Review E 108 (6) (2023)
https://doi.org/10.1103/PhysRevE.108.064413
Second order stabilized semi-implicit scheme for the Cahn–Hilliard model with dynamic boundary conditions
Xiangjun Meng, Xuelian Bao and Zhengru ZhangJournal of Computational and Applied Mathematics 428 115145 (2023)
https://doi.org/10.1016/j.cam.2023.115145
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions
Andrea Giorgini and Patrik KnopfJournal of Mathematical Fluid Mechanics 25 (3) (2023)
https://doi.org/10.1007/s00021-023-00811-w
The Cahn--Hilliard Equation with Forward-Backward Dynamic Boundary Condition via Vanishing Viscosity
Pierluigi Colli, Takeshi Fukao and Luca ScarpaSIAM Journal on Mathematical Analysis 54 (3) 3292 (2022)
https://doi.org/10.1137/21M142441X
On a reversible Gray-Scott type system from energetic variational approach and its irreversible limit
Jiangyan Liang, Ning Jiang, Chun Liu, Yiwei Wang and Teng-Fei ZhangJournal of Differential Equations 309 427 (2022)
https://doi.org/10.1016/j.jde.2021.11.032
Global existence of classical solutions for a reactive polymeric fluid near equilibrium
Chun Liu, Yiwei Wang and Teng-Fei ZhangCalculus of Variations and Partial Differential Equations 61 (3) (2022)
https://doi.org/10.1007/s00526-022-02218-3
Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions
Harald Garcke, Patrik Knopf and Sema YaylaNonlinear Analysis 215 112619 (2022)
https://doi.org/10.1016/j.na.2021.112619
Some Recent Advances in Energetic Variational Approaches
Yiwei Wang and Chun LiuEntropy 24 (5) 721 (2022)
https://doi.org/10.3390/e24050721
Thermodynamically Consistent Models for Coupled Bulk and Surface Dynamics
Xiaobo Jing and Qi WangEntropy 24 (11) 1683 (2022)
https://doi.org/10.3390/e24111683
A Cahn–Hilliard system with forward-backward dynamic boundary condition and non-smooth potentials
Pierluigi Colli, Takeshi Fukao and Luca ScarpaJournal of Evolution Equations 22 (4) (2022)
https://doi.org/10.1007/s00028-022-00847-x
A review on the Cahn–Hilliard equation: classical results and recent advances in dynamic boundary conditions
Hao WuElectronic Research Archive 30 (8) 2788 (2022)
https://doi.org/10.3934/era.2022143
Numerical Approximations and Error Analysis of the Cahn–Hilliard Equation with Reaction Rate Dependent Dynamic Boundary Conditions
Xuelian Bao and Hui ZhangJournal of Scientific Computing 87 (3) (2021)
https://doi.org/10.1007/s10915-021-01475-2