Pullback Attractors for Stochastic Heat Equations in Materials with Memory

Autor:	Caraballo Garrido, Tomás, Chueshov, Igor D., Real Anguas, José
Přispěvatelé:	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Jazyk:	angličtina
Rok vydání:	2008
Předmět:	Random pullback attractor stochastic heat equation with memory Ornstein-Uhlenbeck process asymptotic compactness
Zdroj:	idUS. Depósito de Investigación de la Universidad de Sevilla instname
Popis:	We study the asymptotic behaviour of a non-autonomous stochastic reaction-diffusion equation with memory. In fact, we prove the existence of a random pullback attractor for our stochastic parabolic PDE with memory. The randomness enters in our model as an additive Hilbert valued noise. We first prove that the equation generates a random dynamical system (RDS) in an appropriate phase space. Due to the fact that the memory term takes into account the whole past history of the phenomenon, we are not able to prove compactness of the generated RDS, but its asymptotic compactness, ensuring thus the existence of the random pullback attractor.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4468878d36ca338e3164820aaff0ba5e https://idus.us.es/xmlui/handle/11441/23705 Zobrazit plný text záznamu