On source-type solutions and the Cauchy problem for a doubly degenerate sixth-order thin film equation I. Local oscillatory properties
M. Chaves, V.A. Galaktionov
TL;DR
This paper investigates the local oscillatory behaviors of source-type solutions in a complex sixth-order thin film equation, revealing new insights into their properties and solution structures.
Contribution
It introduces novel analysis of source-type solutions for a doubly nonlinear sixth-order thin film equation, focusing on their local oscillatory properties.
Findings
Identification of oscillatory patterns in solutions
Characterization of local solution behaviors
Insights into the structure of source-type solutions
Abstract
Local oscillatory and other properties of source-type solutions of doubly nonlinear sixth-order parabolic thin film equations are studied.
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Taxonomy
TopicsFluid Dynamics and Thin Films · Differential Equations and Numerical Methods · Nonlinear Partial Differential Equations