Very singular solutions for the thin film equation with absorption
V.A. Galaktionov
TL;DR
This paper investigates the long-term behavior of weak solutions to the fourth-order thin film equation with absorption, focusing on self-similar solutions that describe the large-time dynamics.
Contribution
It introduces a detailed analysis of very singular self-similar solutions for the thin film equation with absorption, expanding understanding of their asymptotic behavior.
Findings
Identification of specific self-similar solutions
Characterization of large-time asymptotics
Insights into the influence of absorption on solution behavior
Abstract
Self-similar large time behaviour of weak solutions of the fourth-order parabolic thin film equations with absorption is studued.
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Taxonomy
TopicsFluid Dynamics and Thin Films · Advanced Mathematical Modeling in Engineering · Solidification and crystal growth phenomena