On the thin-film equation with nonlinear surface tension term

2015/10/06 by Jan Friederich, Friederich, Jan
Engineering · Materials Science · Physics and Astronomy · #35K35 (Primary) 35K55 #35K65 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Thin Films #Solidification and crystal growth phenomena #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1510.01476

openalex publication_date 2015/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this thesis, we consider the thin-film equation with nonlinear surface tension term in one space dimension. Relying on the corresponding energy and entropy estimates, we prove existence of weak solutions as well as nonnegativity results.

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