Strong solutions of the thin film equation in spherical geometry

Roman M. Taranets

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arXiv · 1709.10496

Strong solutions of the thin film equation in spherical geometry

Roman M. Taranets

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Abstract

We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on the outer surface of a sphere. It is shown that the strong solution asymptotically decays to the flat profile.

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Roman M. Taranets. 2017-09-29. Strong solutions of the thin film equation in spherical geometry. https://arxiv.org/abs/1709.10496

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