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Applications of p-adics to geophysics: Linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions
National Autonomous University of Mexico, Mexico.
Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA).ORCID-id: 0000-0002-9857-0938
2017 (engelsk)Inngår i: Theoretical and mathematical physics, ISSN 0040-5779, E-ISSN 1573-9333, Vol. 190, nr 1, s. 154-163Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In a very general setting, we discuss possibilities of applying p-adics to geophysics using a p-adic diffusion representation of the master equations for the dynamics of a fluid in capillaries in porous media and formulate several mathematical problems motivated by such applications. We stress that p-adic wavelets are a powerful tool for obtaining analytic solutions of diffusion equations. Because p-adic diffusion is a special case of fractional diffusion, which is closely related to the fractal structure of the configuration space, p-adic geophysics can be regarded as a new approach to fractal modeling of geophysical processes.

sted, utgiver, år, opplag, sider
Pleiades Publishing , 2017. Vol. 190, nr 1, s. 154-163
Emneord [en]
master equation, geophysics, water-in-oil and oil-in-water emulsions, p-adic number, p-adic diffusion, quasilinear p-adic diffusion
HSV kategori
Forskningsprogram
Naturvetenskap, Matematik
Identifikatorer
URN: urn:nbn:se:lnu:diva-61500DOI: 10.1134/S0040577917010135ISI: 000394442700013Scopus ID: 2-s2.0-85011995423OAI: oai:DiVA.org:lnu-61500DiVA, id: diva2:1083382
Tilgjengelig fra: 2017-03-21 Laget: 2017-03-21 Sist oppdatert: 2019-08-29bibliografisk kontrollert

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