Applications of p-adics to geophysics: Linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions
2017 (English)In: Theoretical and mathematical physics, ISSN 0040-5779, E-ISSN 1573-9333, Vol. 190, no 1, 154-163 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Pleiades Publishing , 2017. Vol. 190, no 1, 154-163 p.
master equation, geophysics, water-in-oil and oil-in-water emulsions, p-adic number, p-adic diffusion, quasilinear p-adic diffusion
Geophysics Other Mathematics
Research subject Natural Science, Mathematics
IdentifiersURN: urn:nbn:se:lnu:diva-61500DOI: 10.1134/S0040577917010135ISI: 000394442700013OAI: oai:DiVA.org:lnu-61500DiVA: diva2:1083382