Open AccessDynamics of stochastic retarded Benjamin-Bona-Mahony equations on unbounded channels
Author(s) -
Qiangheng Zhang
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021293
Subject(s) - compact space , uniqueness , attractor , exponential stability , mathematics , sobolev space , dynamics (music) , pullback , pullback attractor , flattening , stability (learning theory) , mathematical analysis , pure mathematics , physics , computer science , nonlinear system , astronomy , quantum mechanics , machine learning , acoustics
This article is devoted to the asymptotic behaviour of solutions for stochastic Benjamin-Bona-Mahony (BBM) equations with distributed delay defined on unbounded channels. We first prove the existence, uniqueness and forward compactness of pullback random attractors (PRAs). We then establish the forward asymptotic autonomy of this PRA. Finally, we study the non-delay stability of this PRA. Due to the loss of usual compact Sobolev embeddings on unbounded domains, the forward uniform tail-estimates and forward flattening of solutions are used to prove the forward asymptotic compactness of solutions.