Stability for acoustic wave motion with random force on the locally reacting boundary

Autor:	Jiao, Zhe, Xu, Yong
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs 60H15 60G10 35L52 35R60
Druh dokumentu:	Working Paper
Popis:	This paper concerns about the stability for the acoustic wave motion with boundary frictions and random forces. We will show there exists a unique invariant measure for the stochastic evolution equation associated with this acoustic wave motion, and the invariant measure possesses the property of strong mixing. This result is new with respect to the literature on two accounts: (i) stochasticity is accounted for in the acoustic wave model; (ii) the controllability of the dynamical system modeling the acoustic wave motion implies the mixing. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.04481 Zobrazit plný text záznamu View this record from Arxiv