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arXiv · 2406.06161

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

Claudia Espitia·David A. C. Mollinedo·Christian Olivera
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Abstract

In this paper we study the stochastic inhomogeneous incompressible Euler equations in the whole space $\RR^3$. We prove the existence and pathwise uniqueness of local solutions with both additive and multiplicative stochastic noise. Our approach is based on reducing our problem to a random problem and some estimations for type transport equations.

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Claudia Espitia, David A. C. Mollinedo, Christian Olivera. 2024-06-10. On local well-posedness of the stochastic incompressible density-dependent Euler equations. https://arxiv.org/abs/2406.06161

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