TY  - JOUR
AU  - Batangouna, Narcisse
PY  - 2022
TI  - A robust family of exponential attractors for a time semi-discretization of the Ginzburg-Landau equation
JO  - AIMS Mathematics
SP  - 1399
EP  - 1415
VL  - 7
IS  - 1
AB  - 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 to an exponential attractor of the dynamical system associated to the Allen-Cahn equation. We also prove that the fractal dimension of the exponential attractor and of the global attractor is bounded by a constant independent of    τ.
UR  - https://doi.org/10.3934/math.2022082
DO  - 10.3934/math.2022082