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On the existence and conditional energetic stability of solitary water waves with weak surface tension

Groves, Mark D. and Wahlén, Erik LU (2010) In Comptes Rendus Mathématique 348(7-8). p.397-402
Abstract
An existence and stability theory for solitary water waves with weak surface tension has recently been given by Buffoni (2005, 2009) [2,3]. The theory, which is variational in nature, relies upon the assumption that the infimum of the variational functional is strictly subhomogeneous with respect to a small parameter. In this Note we rigorously establish the relevant strict-subhomogeneity property and thus complete Buffoni's theory. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Comptes Rendus Mathématique
volume
348
issue
7-8
pages
397 - 402
publisher
Elsevier
external identifiers
  • wos:000276445800009
  • scopus:77949653202
ISSN
1631-073X
DOI
10.1016/j.crma.2010.01.003
language
English
LU publication?
yes
id
bd2eb166-27b0-4fc7-a692-5eec69121f77 (old id 1603946)
date added to LUP
2016-04-01 13:58:38
date last changed
2022-03-06 08:50:56
@article{bd2eb166-27b0-4fc7-a692-5eec69121f77,
  abstract     = {{An existence and stability theory for solitary water waves with weak surface tension has recently been given by Buffoni (2005, 2009) [2,3]. The theory, which is variational in nature, relies upon the assumption that the infimum of the variational functional is strictly subhomogeneous with respect to a small parameter. In this Note we rigorously establish the relevant strict-subhomogeneity property and thus complete Buffoni's theory. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.}},
  author       = {{Groves, Mark D. and Wahlén, Erik}},
  issn         = {{1631-073X}},
  language     = {{eng}},
  number       = {{7-8}},
  pages        = {{397--402}},
  publisher    = {{Elsevier}},
  series       = {{Comptes Rendus Mathématique}},
  title        = {{On the existence and conditional energetic stability of solitary water waves with weak surface tension}},
  url          = {{http://dx.doi.org/10.1016/j.crma.2010.01.003}},
  doi          = {{10.1016/j.crma.2010.01.003}},
  volume       = {{348}},
  year         = {{2010}},
}