Document details

Asymptotic Stability for Stochastic Delay Kelvin–Voigt–Brinkman–Forchheimer Equations

Author(s): Zhang, Qiangheng ; Kinra, Kush ; Mohan, Manil T.

Date: 2026

Persistent ID: http://hdl.handle.net/10362/206128

Origin: Repositório Institucional da UNL

Subject(s): Delay; Kelvin–Voigt–Brinkman–Forchheimer equation; Pullback random attractor; Spectrum decomposition; Stability; Control and Optimization; Applied Mathematics


Description

Some results on 3D delay Kelvin–Voigt–Brinkman–Forchheimer equations with non-autonomous forcing term and operator type multiplicative white noise are analyzed. First, the existence, uniqueness and backward compactness of pullback random attractors is proved by the backward flattening of solutions and Ascoli-Arzelà theorem. Then we study three types of stability of pullback random attractors: (i) The backward stability of pullback random attractors as the time parameter tends to negative infinity; (ii) The asymptotic autonomous stability of pullback random attractors; (iii) The non-delay stability of pullback random attractors as the delay parameter approaches zero. Since the high regularity of the solution is not easy established, we use the method of the spectrum decomposition to prove the backward asymptotic compactness of the solution operator.

Document Type Journal article
Language English
Contributor(s) RUN; CMA - Centro de Matemática e Aplicações; Springer New York
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