Asymptotic behavior of the stochastic Keller-Segel equations | Zendy

Yadong Shang | Zendy; Jianjun Paul Tian | Zendy; Bixiang Wang | Zendy

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Asymptotic behavior of the stochastic Keller-Segel equations

Author(s) -

Yadong Shang,

Jianjun Paul Tian,

Bixiang Wang

Publication year - 2019

Publication title -

discrete and continuous dynamical systems - 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.2019020

Subject(s) - pullback , uniqueness , attractor , pullback attractor , mathematics , bounded function , boundary (topology) , interval (graph theory) , mathematical analysis , neumann boundary condition , convergence (economics) , combinatorics , economics , economic growth

This paper deals with the asymptotic behavior of the solutions of the non-autonomous one-dimensional stochastic Keller-Segel equations defined in a bounded interval with Neumann boundary conditions. We prove the existence and uniqueness of tempered pullback random attractors under certain conditions. We also establish the convergence of the solutions as well as the pullback random attractors of the stochastic equations as the intensity of noise approaches zero.

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