The effect of perturbations on the convergence of attractors for reaction-diffusion equations concerning variations of nonlinear boundary conditions

2020/05/21 by Flank David Moraes Bezerra, Bezerra, Flank D. M., Pereira, Marcone C. +1
Computer Science · Engineering · #34D45 #35B40 #37B35 #37L05 #41A25 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2005.10928

openalex publication_date 2020/05/21 · openalex created_date 2020/05/29 · openalex updated_date 2026/07/28

Abstract

This paper presents estimates of the convergence of asymptotic dynamics of reaction-diffusion equations with nonlinear boundary conditions. We show how the convergence of the global attractors can be affected by the variations of diffusion coefficients, boundary conditions, and vector fields.

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