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

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

2009-11-16

arxiv.org/abs/0911.2996v1

Mathematics

Analysis of PDEs

38 pages

Scientific paper

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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