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arXiv · 2511.20131

Compressible Euler equations with transport noise

Richard Boadi·Dominic Breit·Thamsanqa Castern Moyo
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Abstract

We study the isentropic compressible Euler equations in multi-dimensions with stochastic perturbation of transport type. On the one hand, this is motivated by the physical modelling in turbulence theory. On the other hand, it has been shown recently that this type of noise can have regularising effects. In this paper, we prove the existence of dissipative measure-valued martingale solutions, the weak-strong uniqueness property and the existence of Markov selections.

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Richard Boadi, Dominic Breit, Thamsanqa Castern Moyo. 2025-11-25. Compressible Euler equations with transport noise. https://arxiv.org/abs/2511.20131

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