Random invariant manifolds and foliations for slow-fast PDEs with strong multiplicative noise

This article is devoted to the dynamical behaviors of a class of slow-fast PDEs perturbed by strong multiplicative noise. We will accomplish the existence of random invariant manifolds and foliations, and show exponential tracking property of them. Moreover, the asymptotic approximation for both obj...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Li Wenlei
Qu Shiduo
Shi Shaoyun
Dokumentumtípus: Folyóirat
Megjelent: 2022
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
Tárgyszavak:
doi:10.14232/ejqtde.2022.1.70

Online Access:http://acta.bibl.u-szeged.hu/78355
Leíró adatok
Tartalmi kivonat:This article is devoted to the dynamical behaviors of a class of slow-fast PDEs perturbed by strong multiplicative noise. We will accomplish the existence of random invariant manifolds and foliations, and show exponential tracking property of them. Moreover, the asymptotic approximation for both objects will be presented.
ISSN:1417-3875