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Euler-Lagrangian Approach to Stochastic Euler Equations in Sobolev Spaces

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Author(s):
Olivera, Christian ; Londono, Juan D.
Total Authors: 2
Document type: Journal article
Source: Journal of Mathematical Fluid Mechanics; v. 25, n. 3, p. 10-pg., 2023-08-01.
Abstract

The purpose of this paper is to establish the equivalence between Lagrangian and classical formulations for the stochastic incompressible Euler equations, the proof is based on Ito-Wentzell-Kunita formula and stochastic analysis techniques. Moreover, we prove a local existence result for the Lagrangian formulation in suitable Sobolev Spaces. (AU)

FAPESP's process: 20/15691-2 - Analytical and probabilistic aspects of irregular models
Grantee:Christian Horacio Olivera
Support Opportunities: Regular Research Grants
FAPESP's process: 20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications
Grantee:Paulo Regis Caron Ruffino
Support Opportunities: Research Projects - Thematic Grants