Title: A model of advective changes in air humidity: a stochastic approach

Authors: Vladimir S. Nozhkin; Vladimir G. Zadorozhniy; Igor I. Ulshin; Olesya I. Kanishcheva

Addresses: Zhukovsky-Gagarin Air Force Academy, Starykh Bolshevikov Street 54 'A', 394064, Voronezh, Russia ' Zhukovsky-Gagarin Air Force Academy, Starykh Bolshevikov Street 54 'A', 394064, Voronezh, Russia ' Zhukovsky-Gagarin Air Force Academy, Starykh Bolshevikov Street 54 'A', 394064, Voronezh, Russia ' Zhukovsky-Gagarin Air Force Academy, Starykh Bolshevikov Street 54 'A', 394064, Voronezh, Russia

Abstract: The paper presents a novel approach to the solution of a moisture transfer problem described by a differential equation with the coefficients which are treated as random processes. The distribution of the projections of the instantaneous velocity vector is approximated by the Vaga-Ising law, and the parameters of such distribution are identified based on a bionic model of adaptive search behaviour. Explicit expressions for the expectation and the second-moment function are obtained.

Keywords: moisture motion in the atmosphere; variation derivative; random process; expectation; second-moment function; characteristic functional.

DOI: 10.1504/IJESMS.2020.111273

International Journal of Engineering Systems Modelling and Simulation, 2020 Vol.11 No.4, pp.160 - 169

Received: 12 Sep 2019
Accepted: 12 Mar 2020
Published online: 17 Nov 2020 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article