Thin-Film Flows on a Solid Sphere


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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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