Bertozzi, A. L.; Pugh, M. The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions. (English) Zbl 0863.76017 Commun. Pure Appl. Math. 49, No. 2, 85-123 (1996). Some properties of weak solutions for the fourth-order degenerate diffusion equation \(h_t=- \nabla\cdot (f(h)\nabla\triangle h)\) in one space dimension are established. Reviewer: G.Camenschi (Bucureşti) Cited in 120 Documents MSC: 76D08 Lubrication theory 35K65 Degenerate parabolic equations 35Q35 PDEs in connection with fluid mechanics Keywords:fourth-order degenerate diffusion equation PDF BibTeX XML Cite \textit{A. L. Bertozzi} and \textit{M. Pugh}, Commun. Pure Appl. Math. 49, No. 2, 85--123 (1996; Zbl 0863.76017) Full Text: DOI OpenURL