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On the p-adic Navier-Stokes equation
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modeling Phys & Cognit Sci)ORCID iD: 0000-0002-9857-0938
Natl Acad Sci Ukraine, Ukraine.
2020 (English)In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 99, no 8, p. 1425-1435Article in journal (Refereed) Published
Abstract [en]

We prove the local solvability of the p-adic analog of the Navier-Stokes equation. This equation describes, within the p-adic model of porous medium, the flow of a fluid in capillaries.

Place, publisher, year, edition, pages
Taylor & Francis Group, 2020. Vol. 99, no 8, p. 1425-1435
Keywords [en]
Alexander Pankov, p-adic numbers, Vladimirov's p-adic fractional differentiation operator, p-adic model of porous medium, Navier-Stokes equation
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-95405DOI: 10.1080/00036811.2018.1533120ISI: 000532670300009Scopus ID: 2-s2.0-85055127540OAI: oai:DiVA.org:lnu-95405DiVA, id: diva2:1434576
Available from: 2020-06-03 Created: 2020-06-03 Last updated: 2021-05-07Bibliographically approved

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Khrennikov, Andrei

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