Linear stability of source-type similarity solutions of the thin film equation
type: Item
instance of: scholarly article
title: Linear stability of source-type similarity solutions of the thin film equation
zbMATH Open document ID: 1016.76031
DOI: 10.1016/S0893-9659(02)80012-X
author: Andrew J. Bernoff
author: Thomas P. Witelski
published in: Applied Mathematics Letters
publication date: 2002-08-15T00:00:00Z
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 76A20
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 76M55
zbMATH DE Number: 1781924
zbMATH Keywords: lubrication equation
zbMATH Keywords: nonlinear diffusion
zbMATH Keywords: compactly-supported source-type self-similar solutions
zbMATH Keywords: generalized thin film equation
zbMATH Keywords: linear stability
zbMATH Keywords: similarity variables
zbMATH Keywords: spectrum
zbMATH Keywords: eigenfunctions
zbMATH Keywords: orthogonal polynomials
MaRDI profile type: Publication
cites work: Thin Films with High Surface Tension
cites work: Higher order nonlinear degenerate parabolic equations
cites work: Source type solutions of a fourth order nonlinear degenerate parabolic equation
cites work: Q4849749
cites work: Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
cites work: ICIAM/GAMM 95 Applied sciences, especially Mechanics Minisymposia Contributions
cites work: Q4884681
cites work: High-Order Nonlinear Diffusion
cites work: Q3283690
cites work: Self‐similar Asymptotics for Linear and Nonlinear Diffusion Equations
cites work: Q4364452
cites work: Similarity solutions of the lubrication equation
cites work: Stability of self-similar solutions for van der Waals driven thin film rupture
cites work: The ``linear'' limit of thin film flows as an obstacle-type free boundary problem
cites work: Source-type solutions to thin-film equations: The critical case
cites work: Dynamics of three-dimensional thin film rupture
cites work: Linear stability of steady states for thin film and Cahn-Hilliard type equations
cites work: Q3034176
cites work: Source-type solutions to thin-film equations in higher dimensions
description: scientific article; zbMATH DE number 1781924