P-Adic Analog of Navier–Stokes Equations: Dynamics of Fluid’s Flow in Percolation Networks (from Discrete Dynamics with Hierarchic Interactions to Continuous Universal Scaling Model)

P-Adic Analog of Navier–Stokes Equations: Dynamics of Fluid’s Flow in Percolation Networks (from Discrete Dynamics with Hierarchic Interactions to Continuous Universal Scaling Model)

Recently p-adic (and, more generally, ultrametric) spaces representing tree-like networks of percolation, and as a special case of capillary patterns in porous media, started to be used to model the propagation of fluids (e.g., oil, water, oil-in-water, and water-in-oil emulsion). The aim of this no...

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Bibliographic Details
Main Authors: Klaudia Oleschko, Andrei Khrennikov, María de Jesús Correa López
Format: Article
Language:English
Published: MDPI AG 2017-04-01
Series:Entropy
Subjects:
capillary network in porous media
fluid flow
tree-like structure
utrametric space
p-adic numbers
p-adic pseudo-differential operators
discrete dynamics with tree-like hierarchy
continuous limit
the tree-like analog of Navier–Stokes equation
Online Access:http://www.mdpi.com/1099-4300/19/4/161

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