Approximation of ill-posed Boussinesq equations

Diogo A. Gomes; Claudia Valls

doi:10.1080/1468936042000269587

Approximation of ill-posed Boussinesq equations

Diogo A. Gomes^*, Claudia Valls

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	345-357
Number of pages	13
Journal	Dynamical Systems
Volume	19
Issue number	4
DOIs	https://doi.org/10.1080/1468936042000269587
State	Published - Dec 2004
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Computer Science Applications

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10.1080/1468936042000269587

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title = "Approximation of ill-posed Boussinesq equations",

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.",

author = "Gomes, {Diogo A.} and Claudia Valls",

note = "Funding Information: D.G. was partially supported by FCT/POCTI/FEDER; C.V. was partially supported by FCT grant SFRH/BPD/14404/2003.",

year = "2004",

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AU - Valls, Claudia

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PY - 2004/12

Y1 - 2004/12

N2 - 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.

AB - 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.

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U2 - 10.1080/1468936042000269587

DO - 10.1080/1468936042000269587

M3 - Article

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SN - 1468-9367

VL - 19

SP - 345

EP - 357

JO - Dynamical Systems

JF - Dynamical Systems

IS - 4

ER -

Approximation of ill-posed Boussinesq equations

Abstract

ASJC Scopus subject areas

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