Thin-Film Flows on a Solid Sphere
- Authors: Taranets R.M.1
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Affiliations:
- Institute of Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences
- Issue: Vol 243, No 3 (2019)
- Pages: 493-504
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/243109
- DOI: https://doi.org/10.1007/s10958-019-04551-z
- ID: 243109
Cite item
Abstract
By using the Arzela–Ascoli theorem, we prove the existence of strong solutions of the equation of thin-film flow on a solid sphere in weighted Sobolev spaces.
About the authors
R. M. Taranets
Institute of Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences
Author for correspondence.
Email: taranets_r@yahoo.com
Ukraine, Generala Batyuka Str., 19, Sloviansk, 84116
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