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Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation

Authors
  • Álvarez-Caudevilla, P.
  • Galaktionov, V. A.
Type
Preprint
Publication Date
Sep 29, 2010
Submission Date
Sep 29, 2010
Source
arXiv
License
Yellow
External links

Abstract

The quasilinear fourth-order thin film equation in $R^N$ is shown to admit infinite countable families of global and blow-up similarity solutions, which are originated in the limit from eigenfunctions of the corresponding linear non-self-adjoint operators.

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