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HOMOGENIZATION OF ATTRACTORS TO GINZBURG-LANDAU EQUATIONS IN POROUS MEDIA

K. Bekmaganbetov, G. Chechkin, A. Tolemis

2025Functional Differential Equations

DOI: 10.26351/fde/32/3-4/4

Abstract

We consider Ginzburg-Landau equation in perforated domain, with rapidly oscillating coefficient in boundary conditions. We prove that the trajectory attractors of this equation tend in a weak sense to the trajectory attractors of the homogenized Ginzburg-Landau equation with a “strange term” (potential).

Citation format

BEKMAGANBETOV, K.; CHECHKIN, G.; TOLEMIS, A. HOMOGENIZATION OF ATTRACTORS TO GINZBURG-LANDAU EQUATIONS IN POROUS MEDIA. Functional Differential Equations, 2025.