A local solution to the Navier–Stokes equations on manifolds via stochastic representation. (September 2020)

• Record Type: Journal Article
• Authors: Ledesma, Diego S.
• Is Part Of: Nonlinear analysis. Volume 198(2020)
• Publication Date: 2020-09
• Subjects: 35Q30 -- 58J65; Navier–Stokes equations -- Stochastic representation -- Implicit function theorem; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111927
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We obtain a C k local existence result for the Navier–Stokes equations on compact Riemannian manifolds using the representation formula for the solution obtained by Fang and Luo.