Rate of convergence of attractors for semilinear singularly perturbed problems: parabolic equations with large diffusion

2016/06/14 by Leonardo Martins Pires, Pires, Leonardo, Leonardo Pires
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1607.01349

openalex publication_date 2016/06/14 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28

Abstract

We exhibit a singularly perturbed parabolic problems for which the asymptotic behavior can be described by an one-dimensional ordinary differential equation. We estimate the continuity of attractors in the Hausdorff metric by rate of convergence of resolvent operator.

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