Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation
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Publication:2090471
DOI10.3934/dcdss.2022110zbMath1497.65164OpenAlexW4225619433MaRDI QIDQ2090471
Matthieu Brachet, Philippe Parnaudeau, Morgan Pierre
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2022110
Lyapunov stabilityCahn-Hilliard equationgradient flowLasalle's invariance principleKurdyka-Lojasiewicz inequalityenergy stable schemeLojasiewicz-Simon inequality
Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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