June 10, 2024Open Access

On local well-posedness of the stochastic incompressible density-dependent Euler equations

Key Points

Key points are not available for this paper at this time.

Abstract

In this paper we study the stochastic inhomogeneous incompressible Euler equations in the whole space R³. We show the existence and pathwise uniqueness of local solutions with a multiplicative stochastic noise. Our approach is based on reducing our problem to the random problem and some estimations for type transport equations.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Espitia et al. (Mon,) studied this question.

synapsesocial.com/papers/68e65773b6db6435875e68fe https://doi.org/https://doi.org/10.48550/arxiv.2406.06161

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On the Stochastic Regularization of 3D Euler Equations Through Random Diffusion2026
2Pathwise solutions for stochastic hydrostatic Euler equations under the local Rayleigh condition2026
3Global existence for non-homogeneous incompressible inviscid fluids in presence of Ekman pumping2024
4Hölder continuous solutions to stochastic 3D Euler equations via stochastic convex integration2024
5Global solutions of the one-dimensional compressible Euler equations with nonlocal interactions via the inviscid limit2024

Bookmark

View Full Paper