The Cahn-Hilliard equations
A further study on the coupled Allen–Cahn/Cahn–Hilliard equations
... Allen–Cahn/Cahn–Hilliard equations continuously depend on parameters of the system, and under some restrictions on the parameters all solutions of the initial boundary value problem for ...
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C0 Interior Penalty Methods for Cahn-Hilliard Equations
... introduce Cahn-Hilliard equations and the time discretization that leads to linear fourth order boundary value ...the Cahn-Hilliard type, which are called C 0 interior penalty methods, ...
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A New Time Integration Scheme for Cahn-hilliard Equations
... The Cahn-Hilliard equations pose a challenging computational problem, therefore their time integration requires unconditionally stable schemes and appropriate time step adaptation proce- ...the ...
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Nonsmooth Schur-Newton methods for vector-valued Cahn-Hilliard equations
... VECTOR-VALUED CAHN–HILLIARD EQUATIONS CARSTEN GR ¨ ASER, RALF KORNHUBER, AND ULI SACK ...vector-valued Cahn–Hilliard equations with logarithmic and obstacle ...
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Optimal control of the sixth-order convective Cahn-Hilliard equation
... A Cahn-Hilliard model in a domain with non-permeable ...viscous Cahn-Hilliard equation in R N ...of Cahn-Hilliard equations in deformable ...
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The existence of weak solutions for a nonlocal Cahn Hilliard equation with degenerate mobility
... accepted 20 July 2018) The aim of this paper is to study the existence of weak solutions for a nonlocal Cahn-Hilliard equations with degenerate mobility. Based on the uniform Schauder estimates and ...
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Scalability of Direct Solver for Non-stationary Cahn-Hilliard Simulations with Linearized time Integration Scheme
... analysis, Cahn-Hilliard equations, non-stationary problems, multi-frontal par- allel direct solver, parallel efficiency and speedup 1 Introduction In this paper we analyze the numerical properties of ...
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PASSING TO THE LIMIT ON SMALL PARAMETERS FOR GENERALIZED VISCOUS CAHN-HILLIARD TYPE EQUATIONS WITH NONLINEAR SOURCE
... BUI LE TRONG THANH, NGUYEN NGOC QUOC THUONG Communicated by Jesus Ildefonso Diaz Abstract. We study the well-posedness of the generalized viscous Cahn- Hilliard equation with nonlinear source term. Then, we ...
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Malliavin Calculus for the stochastic Cahn- Hilliard/Allen-Cahn equation with unbounded noise diffusion
... The novelty of this paper is the proof of Theorem 1.1 (i.e., Theorem 2.9 and Theorem 3.4), for the equation (1.1), which consists a stochastic pde with a white space-time noise and unbounded noise diffusion. This is an ...
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Classical solutions for the Cahn-Hilliard equation with decayed mobility
... Keywords: Cahn-Hilliard equation; decayed mobility; classical solutions 1 Introduction The Cahn-Hilliard equation, as an important continuous model for a phase transition with a conservative ...
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Isogeometric analysis of the Cahn-Hilliard equation - a convergence study
... 5. Conclusion The present work provides a detailed convergence analysis of the Cahn-Hilliard phase-field model. Two different formulations of the model have been implemented in a Matlab-based finite element ...
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Evolving surface finite element method for the Cahn-Hilliard equation
... a Cahn-Hilliard equation on an evolving surface using a local conservation ...differential equations on evolving surfaces taken from [5,11] and state any assumptions on the smoothness of the surfaces ...
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CiteSeerX — THE FOURIER SPECTRAL METHOD FOR THE CAHN-HILLIARD EQUATION 1
... C-H equations can be found in many references (see [5, 11, 12, 13, 14, 15, 16, 17] and the references cited ...C-H equations to construct discrete schemes that possess a Lyapunov functional and remain mass ...
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A regularity criterion for the Cahn Hilliard Boussinesq system with zero viscosity
... Kozono, H, Ogawa, T, Taniuchi, Y: The critical Sobolev inequalities in Besov space and regularity criterion to some semilinear evolution equations. Fan, J, Zhou, Y: A note on regularity [r] ...
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Convective Viscous Cahn-Hilliard/Allen-Cahn Equation: Exact Solutions. P.O. Mchedlov-Petrosyan *, L.N. Davydov
... well-known Cahn-Hilliard and Allen-Cahn equations was used to describe surface processes, such as simultaneous adsorption/desorption and surface ...the ...
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Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method
... The Cahn-Hilliard variational inequality is a non-standard parabolic vari- ational inequality of fourth order for which straightforward numerical ap- proaches cannot be ...discretized ...
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An adaptive Cahn-Hilliard equation for enhanced edges in binary image inpainting
... differential equations (PDEs) are widely used, and they showed good success mainly for cartoon and binary images Chan and ...the Cahn-Hilliard equation (CHE) and its application in binary images ...
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Numerical analysis of an adjusted Cahn-Hilliard equation for binary image inpainting
... As emphasised in most of the literature, energies like (1.4) are difficult to work with in practice because of the minimisation happening over collections of (a pri- ori unknown) curves in the plane; this motivated ...
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Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation
... Sin. 24, 129-140 (2008) 9. Yin, L, Li, Y, Huang, R, Yin, J: Time periodic solutions for a Cahn-Hilliard type equation. Math. Comput. Model. 48, 11-18 (2008) 10. Gilbarg, D, Trudinger, N: Elliptic Partial ...
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Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains
... 5. Jiang, Z, Fan, J: Vanishing heat conductivity limit for the 2D Cahn-Hilliard-Boussinesq system. Bound. Value Probl. 2011, Article ID 54 (2011) 6. Zhou, D, Li, Z: Global well-posedness for the 2D ...
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