Stochastic Forcing in Hydrodynamic Models with Non-local Interactions
نویسندگان
چکیده
The hydrodynamical model of the collective behavior animals consists Euler equation with additional non-local forcing terms representing repulsive and attractive forces among individuals. This paper deals system endowed an white-noise artificial viscous term. We provide a proof existence dissipative martingale solution—a cornerstone for subsequent analysis stochastic forcing.
منابع مشابه
Chiral restoration in effective quark models with non - local interactions ⋆
Recently, considerable activity has been focused on chiral quark models with non-local interactions [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]. In this approach interactions depend on the momenta carried by the quarks, which leads to a momentum-dependent quark mass, generated by spontaneous breaking of the chiral symmetry. There are several important reasons why it is worthwhile to consider su...
متن کاملNon-Markovian closure kinetics of flexible polymers with hydrodynamic interactions.
This paper presents a theoretical analysis of the closure kinetics of a polymer with hydrodynamic interactions. This analysis, which takes into account the non-Markovian dynamics of the end-to-end vector and relies on the preaveraging of the mobility tensor (Zimm dynamics), is shown to reproduce very accurately the results of numerical simulations of the complete nonlinear dynamics. It is found...
متن کاملon some bayesian statistical models in actuarial science with emphasis on claim count
چکیده ندارد.
15 صفحه اولWavetrain response of an excitable medium to local stochastic forcing
We consider the effect of stochastic forcing on a one-dimensional excitable reactiondiffusion system, where the noise only acts on a small subdomain of the medium. We show that there are distinguished scaling limits in which the stochastic forcing gives rise to a mean response of a periodic wavetrain of pulses which are deterministic in the limit. Thus, the system responds coherently and period...
متن کاملMicro-swimmers with hydrodynamic interactions
The low-Reynolds number motions of Purcell’s three-link swimmer, and of a closely-related two-paddle swimmer, are investigated and compared using slender-body theory and resistive-force theory. The results are compared (in the case of the three-link swimmer) with the resistive-force calculations of Becker, Koehler and Stone (BKS). In particular, we examine the effect of hydrodynamic interaction...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2021
ISSN: ['1572-9230', '0894-9840']
DOI: https://doi.org/10.1007/s10959-021-01137-x