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.

In this paper, we extend the method in [5] to derive a class of quantum hydrodynamic models for the density-functional theory (DFT). The most popular implement of DFT is the Kohn-Sham equation, which transforms a many-particle interacting system into a fictitious non-interacting one-particle system. The Kohn-Sham equation is a non-linear Schrödinger equation, and the corresponding Wigner equati...

A numerical procedure to determine the equivalent hydrodynamic dispersion coefficients and Péclet number (Pe) of a fractured rock is presented using random walk particle tracking method. The geometrical effects of fracture system on hydrodynamic dispersion are studied. The results obtained from the proposed method agree well with those of empirical models, which are the scale-dependent hydrodyn...

Abstract Flood risk in cities and built‐up areas is a major threat which likely to grow due increased urbanisation climate change. It priority for urban planning, civil defence insurance accurately represent buildings features hydrodynamic models assess flood people, properties, assets infrastructure an uncertain future. The correct representation of currently blocked by the lack detailed accur...

Here we present evolutionary models for a set of massive stars, introducing new prescription the mass-loss rate obtained from hydrodynamical calculations in which wind velocity profile, $v(r)$, and line-acceleration, $g_\text{line}$, are self consistently way. Replacing rates at Main Sequence stage standard Vink's formula by our recipe, generate tracks $M_\text{ZAMS}=25,40,70$ $120\,M_\odot$ me...