On centre subspace behaviour in thin flm equations

Details On centre subspace behaviour in thin flm equations On centre subspace behaviour in thin flm equations

2009-01-26

arxiv.org/abs/0901.3995v1

Mathematics

Analysis of PDEs

27 pages, 4 figures

Scientific paper

It is shown that the fourth-order parabolic thin film equation with critical
absorption admits the large time behaviour, where special logarithmic
perturbations enter the standard source-type asymptotics. Such asymptpotic
phenomena on existence of logarithmic factors are known for semilinear heat
equation with absorption since the 1980s.

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