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

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

2010-09-29

arxiv.org/abs/1009.5864v1

Mathematics

Analysis of PDEs

48 pages, 1 figure

Scientific paper

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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