Stochastic forcing in hydrodynamic models with non-local interactions
Analysis of PDEs
2021-07-01 v1 Probability
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.
Cite
@article{arxiv.2106.16134,
title = {Stochastic forcing in hydrodynamic models with non-local interactions},
author = {Pavel Ludvik and Vaclav Macha},
journal= {arXiv preprint arXiv:2106.16134},
year = {2021}
}