Maximal L p-regularity and Long-time Behaviour of the Non-isothermal Cahn-Hilliard Equation with Dynamic Boundary Conditions

Partial Differential Equations and Functional Analysis ◽

10.1007/3-7643-7601-5_13 ◽

2006 ◽

pp. 209-236 ◽

Author(s):

Jan Prüss ◽

Mathias Wilke

Keyword(s):

Boundary Conditions ◽

Time Behaviour ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Long Time Behaviour ◽

Dynamic Boundary ◽

Long Time ◽

Cahn Hilliard Equation

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

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-010-0602-7 ◽

2010 ◽

Vol 31 (5) ◽

pp. 679-712 ◽

Author(s):

Gianni Gilardi ◽

Alain Miranville ◽

Giulio Schimperna

Keyword(s):

Boundary Conditions ◽

Time Behavior ◽

Long Time Behavior ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Long Time ◽

Cahn Hilliard Equation

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

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2008.v5.n1.a2 ◽

2008 ◽

Vol 5 (1) ◽

pp. 39-67 ◽

Author(s):

Ciprian Gal

Keyword(s):

Boundary Conditions ◽

Well Posedness ◽

Time Behavior ◽

Long Time Behavior ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Long Time ◽

Cahn Hilliard Equation

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Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions†

Communications in Computational Physics ◽

10.4208/cicp.2019.js60.14 ◽

2019 ◽

Vol 26 (5) ◽

pp. 1490-1509

Author(s):

Na Li

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Dynamic Boundary Conditions ◽

Finite Element Scheme ◽

Element Scheme ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation ◽

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Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditions

ESAIM Proceedings and Surveys ◽

10.1051/proc/201445052 ◽

2014 ◽

Vol 45 ◽

pp. 502-511

Author(s):

Flore Nabet

Keyword(s):

Boundary Conditions ◽

Finite Volume Method ◽

Finite Volume ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation ◽

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Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.590 ◽

2005 ◽

Vol 28 (6) ◽

pp. 709-735 ◽

Author(s):

A. Miranville ◽

S. Zelik

Keyword(s):

Boundary Conditions ◽

Dynamic Boundary Conditions ◽

Exponential Attractors ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation

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Convergence to equilibrium for the Cahn–Hilliard equation with dynamic boundary conditions

Journal of Differential Equations ◽

10.1016/j.jde.2004.05.004 ◽

2004 ◽

Vol 204 (2) ◽

pp. 511-531 ◽

Author(s):

Hao Wu ◽

Songmu Zheng

Keyword(s):

Boundary Conditions ◽

Convergence To Equilibrium ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation

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

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2010.28.275 ◽

2010 ◽

Vol 28 (1) ◽

pp. 275-310 ◽

Author(s):

Alain Miranville ◽

◽

Sergey Zelik ◽

Keyword(s):

Boundary Conditions ◽

Singular Potentials ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation

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

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.04.057 ◽

2015 ◽

Vol 429 (2) ◽

pp. 1190-1213 ◽

Author(s):

Pierluigi Colli ◽

Takeshi Fukao

Keyword(s):

Boundary Conditions ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Mass Constraint ◽

Cahn Hilliard Equation

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Maximal regularity and asymptotic behavior of solutions for the Cahn–Hilliard equation with dynamic boundary conditions

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-005-0175-3 ◽

2006 ◽

Vol 185 (4) ◽

pp. 627-648 ◽

Author(s):

Jan Prüss ◽

Reinhard Racke ◽

Songmu Zheng

Keyword(s):

Asymptotic Behavior ◽

Boundary Conditions ◽

Maximal Regularity ◽

Asymptotic Behavior Of Solutions ◽

Dynamic Boundary Conditions ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation

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Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2010.26.625 ◽

2010 ◽

Vol 26 (2) ◽

pp. 625-647 ◽

Author(s):

Jan Prüss ◽

◽

Vicente Vergara ◽

Rico Zacher ◽

◽

...

Keyword(s):

Well Posedness ◽

Time Behaviour ◽

Hilliard Equation ◽

Long Time Behaviour ◽

Long Time ◽

Cahn Hilliard Equation ◽

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