Zero-contact angle solutions to stochastic thin-film equations

We establish existence of nonnegative martingale solutions to stochastic thin-film equations with quadratic mobility for compactly supported initial data under Stratonovich noise. Based on so-called α -entropy estimates, we show that almost surely these solutions are classically differentiable in sp...

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Veröffentlicht in:	Journal of evolution equations 2022-09, Vol.22 (3), Article 64
Hauptverfasser:	Grün, Günther, Klein, Lorenz
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Contact angle Entropy Estimates Martingales Mathematical analysis Mathematics Mathematics and Statistics Regularization Thin films
Online-Zugang:	Volltext
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