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arXiv · 0911.2996

Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation

P. Alvarez-Caudevilla·V. A. Galaktionov
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Abstract

We show that various asymptotic properties of global solutions of a fourth-order quasilinear thin film equation can be described by branching from corresponding solutions of the linear bi-harmonic equation. This includes a countable family of self-similar solutions and other aspects.

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P. Alvarez-Caudevilla, V. A. Galaktionov. 2009-11-16. Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation. https://arxiv.org/abs/0911.2996

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