The Cauchy problem for a tenth-order thin film equation I. Bifurcation of oscillatory fundamental solutions

Pablo Álvarez-Caudevilla, Jonathan D. Evans, Victor A. Galaktionov

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Fundamental global similarity solutions of the tenth-order thin film equation
ut=∇.(|u|n∇Δ4u) in RN ×+, where n > 0 are studied. The main approach consists in passing to the limit n→0+ by using Hermitian non-self-adjoint spectral theory corresponding to the rescaled linear poly-harmonic equation
ut5ut in RN ×R+ .

Original languageEnglish
Pages (from-to)1761-1792
JournalMediterranean Journal of Mathematics
Volume10
Issue number4
DOIs
Publication statusPublished - Nov 2013

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Thin Film Equation
Similarity Solution
Spectral Theory
Fundamental Solution
Cauchy Problem
Bifurcation
Harmonic

Cite this

The Cauchy problem for a tenth-order thin film equation I. Bifurcation of oscillatory fundamental solutions. / Álvarez-Caudevilla, Pablo; Evans, Jonathan D.; Galaktionov, Victor A.

In: Mediterranean Journal of Mathematics, Vol. 10, No. 4, 11.2013, p. 1761-1792.

Research output: Contribution to journalArticle

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