Approximation of ill-posed Boussinesq equations

Diogo Gomes*, Claudia Valls

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper we compare the dynamics on the centre manifold of the solutions of an ill-posed Boussinesq equation with a well-posed version. We show that the dynamics in the centre manifold of the ill-posed equation tracks the dynamics of the well-posed equation. Our results give partial justification to the long-wave perturbation theory.

Original languageEnglish (US)
Pages (from-to)345-357
Number of pages13
JournalDynamical Systems
Volume19
Issue number4
DOIs
StatePublished - Dec 1 2004

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Applied Mathematics

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