Strong solutions of the thin film equation in spherical geometry
classification
🧮 math.AP
keywords
equationstrongfilmsolutionsthinasymptoticallybehaviourclassified
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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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