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arXiv · 2106.16134

Stochastic forcing in hydrodynamic models with non-local interactions

Pavel Ludvik·Vaclav Macha
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Abstract

The hydrodynamical model of the collective behavior of animals consists of the Euler equation with additional non-local forcing terms representing the repulsive and attractive forces among individuals. This paper deals with the system endowed with an additional white-noise forcing and an artificial viscous term. We provide a proof of the existence of a dissipative martingale solution -- a cornerstone for a subsequent analysis of the system with stochastic forcing.

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Pavel Ludvik, Vaclav Macha. 2021-06-30. Stochastic forcing in hydrodynamic models with non-local interactions. https://arxiv.org/abs/2106.16134

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