Probabilistic representation for mild solution of the Navier–Stokes equations

Autor:	Christian Olivera
Rok vydání:	2021
Předmět:	Physics::Fluid Dynamics Stochastic process General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Probabilistic logic Vector field Expected value Viscous incompressible fluid Navier–Stokes equations Representation (mathematics) Mathematics
Zdroj:	Mathematical Research Letters. 28:563-573
ISSN:	1945-001X 1073-2780
DOI:	10.4310/mrl.2021.v28.n2.a8
Popis:	This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin \cite{Cont} , where the velocity field of a viscous incompressible fluid is written as the expected value of a stochastic process. Our contribution is to establish this probabilistic representation formula for mild solutions of the Navier-Stokes equations on $\mathbb{R}^{d} $.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5e5e966d195a54c7adc30c40ba0236b9 https://doi.org/10.4310/mrl.2021.v28.n2.a8 Zobrazit plný text záznamu