Stochastic forcing in hydrodynamic models with non-local interactions

0564463 - MÚ 2023 RIV US eng J - Journal Article
Ludvík, P. - Mácha, Václav
Stochastic forcing in hydrodynamic models with non-local interactions.
Journal of Theoretical Probability. Roč. 35, č. 4 (2022), s. 2806-2852. ISSN 0894-9840. E-ISSN 1572-9230
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : weak solutions * hydrodynamic model * Euler equations
OECD category: Pure mathematics
Impact factor: 0.8, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s10959-021-01137-x

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.
Permanent Link: https://hdl.handle.net/11104/0336121