On Continuous Branches of Very Singular Similarity Solutions of the Stable Thin Film Equation
J.D. Evans, V.A. Galaktionov
TL;DR
This paper investigates the continuous branches of similarity solutions for the stable thin film equation, a fourth-order PDE, providing insights into their structure and behavior.
Contribution
It introduces a detailed analysis of the continuous branches of similarity solutions for the stable thin film equation, expanding understanding of their properties.
Findings
Identification of continuous solution branches
Characterization of solution behavior
Insights into stability and structure
Abstract
Continuous branches of similarity solutions of the fourth-order stable thin film equation are studied.
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Taxonomy
TopicsFluid Dynamics and Thin Films · Advanced Mathematical Modeling in Engineering · Nonlinear Dynamics and Pattern Formation