Modeling Fluid’s Dynamics with Master Equations in Ultrametric Spaces Representing the Treelike Structure of Capillary Networks

Modeling Fluid’s Dynamics with Master Equations in Ultrametric Spaces Representing the Treelike Structure of Capillary Networks

We present a new conceptual approach for modeling of fluid flows in random porous media based on explicit exploration of the treelike geometry of complex capillary networks. Such patterns can be represented mathematically as ultrametric spaces and the dynamics of fluids by ultrametric diffusion. The...

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Bibliographic Details
Main Authors: Andrei Khrennikov, Klaudia Oleschko, María de Jesús Correa López
Format: Article
Language:English
Published: MDPI AG 2016-07-01
Series:Entropy
Subjects:
tree-like geometry
ultrametric spaces and analysis
capillary networks in random porous media
master equations
ultrametric pseudo-differential operators and diffusion
fluids flows
p-adic numbers
fractals
non-Archimedean theoretical physics
Online Access:http://www.mdpi.com/1099-4300/18/7/249

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http://www.mdpi.com/1099-4300/18/7/249

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