2022/01/31 by Isanka Garli Hevage, Hevage, Isanka Garli, Akif Ibraguimov +3
Economics, Econometrics and Finance · Engineering · Mathematics · #Analysis of PDEs (math.AP) #Complex Systems and Time Series Analysis #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Probability (math.PR) #Stochastic processes and financial applications #math.AP #math.PR
paper · pdf · doi:10.48550/arxiv.2201.13413
arxiv created 2022/01/31 · openalex publication_date 2022/01/31 · arxiv updated 2022/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the degenerate Einstein's Brownian motion model for the case when the time interval (τ) of particle Jumps before collision (free jumps) reciprocal to the number of particles per unit volume u(x,t) > 0 at the point of observation x at time t. The parameter 0 < τ≤ C < ∞, controls characteristic of the fluid "almost decreases" to 0 when u → ∞. This degeneration leads to the localisation of the spread of particle propagation in the media. In our report we will present a structural condition of the time interval of free jumps - τ and the frequency of these free jumps ϕ as functions of u which guarantees the finite speed of propagation of u.