A robust family of exponential attractors for a time semi-discretization of the Ginzburg-Landau equation

A robust family of exponential attractors for a time semi-discretization of the Ginzburg-Landau equation

We consider a time semidiscretization of the Ginzburg-Landau equation by the backward Euler scheme. For each time step τ, we build an exponential attractor of the dynamical system associated to the scheme. We prove that, as τ tends to 0, this attractor converges for the symmetric Hausdorff distance...

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Bibliographic Details
Main Author: Narcisse Batangouna
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
allen-cahn equation
ginzburg-landau equation
exponential attractor
global attractor
backward euler scheme
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022082?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022082?viewType=HTML

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