Rate of Convergence of Attractors for Singularly Perturbed Semilinear\n Problems

2016/06/12 by Leonardo Pires, Pires, Leonardo, Alexandre N. Carvalho +2
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1606.03772

openalex publication_date 2016/06/12 · openalex created_date 2022/10/07 · openalex updated_date 2026/07/28

Abstract

We exhibit a class of singularly perturbed parabolic problems which the\nasymptotic behavior can be described by a system of ordinary differential\nequation. We estimate the convergence of attractors in the Hausdorff metric by\nrate of convergence of resolvent operators. Application to spatial\nhomogenization and large diffusion except in a neighborhood of a point will be\nconsidered.\n

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