Large deviation for a 2D Allen–Cahn–Navier–Stokes model under random influences

Autor:	T. Tachim Medjo, Gabriel Deugoue
Rok vydání:	2021
Předmět:	Physics::Fluid Dynamics 010104 statistics & probability Mathematics::Probability General Mathematics 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs Navier stokes 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Asymptotic Analysis. 123:41-78
ISSN:	1875-8576 0921-7134
DOI:	10.3233/asy-201625
Popis:	In this article, we derive a large deviation principle for a 2D Allen–Cahn–Navier–Stokes model under random influences. The model consists of the Navier–Stokes equations for the velocity, coupled with an Allen–Cahn equation for the order (phase) parameter. The proof relies on the weak convergence method that was introduced in (Ann. Inst. Henri Poincaré Probab. Stat. 47 (2011) 725–747) and based on a variational representation on infinite-dimensional Brownian motion.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f8281cb2318f4e1ce6230b0808d6e697 https://doi.org/10.3233/asy-201625 Zobrazit plný text záznamu Plný text ve formátu PDF