Stochastic forcing in hydrodynamic models with non-local interactions

0564463 - MÚ 2023 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA18-05974S
Institucionální podpora: RVO:67985840
Klíčová slova: weak solutions * hydrodynamic model * Euler equations
Obor OECD: Pure mathematics
Impakt faktor: 0.8, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0336121