The Euler equations of an inviscid incompressible fluid driven by a Lévy noise. (December 2018)

• Record Type: Journal Article
• Authors: Cyr, Justin; Tang, Sisi; Temam, Roger
• Is Part Of: Nonlinear analysis. Volume 44(2018)
• Page Start: 173
• Page End: 222
• Publication Date: 2018-12
• Subjects: Euler equations -- Stochastic partial differential equations -- Local pathwise solutions -- Lévy processes -- Poisson random measures; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.04.002
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Our aim in this article is to show the local existence of pathwise solutions of the Euler equations driven by a general Lévy noise, in all space dimensions and for strictly positive time almost surely. The Euler equations are considered in a regular domain with slip boundary condition, or with periodic boundary conditions or in the whole space. In addition, we prove that when all data are C ∞ in space, so is the solution.