Estimate of the attractive velocity of attractors for some dynamical systems

2021/08/17 by Chunyan Zhao, Zhao, Chunyan, Chengkui Zhong +3
Engineering · Mathematics · #35B40 #35B41 #35L05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2108.07410

openalex publication_date 2021/08/17 · openalex created_date 2022/10/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we first prove an abstract theorem on the existence of polynomial attractors and the concrete estimate of their attractive velocity for infinite-dimensional dynamical systems, then apply this theorem to a class of wave equations with nonlocal weak damping and anti-damping in case that the nonlinear term~f~is of subcritical growth.

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