Convergence of exponential attractors for a time semi-discrete reaction-diffusion equation

DOI10.1007/s00211-017-0937-zzbMath1394.37111OpenAlexW2774466516WikidataQ115609021 ScholiaQ115609021MaRDI QIDQ1749439

Morgan Pierre

Publication date: 16 May 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-017-0937-z

zbMATH Keywords

global attractorexponential attractorAllen-Cahn equationbackward Euler scheme

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solutions to abstract evolution equations (65J08)

Related Items (4)

Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system ⋮ Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation ⋮ Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity ⋮ Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation

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