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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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Comptes Rendus Mathématique
volume
348
issue
7-8
pages
397 - 402
publisher
Editions scientifiques 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
2010-05-17 13:10:40
date last changed
2018-05-29 11:04:40
@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    = {Editions scientifiques 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},
  volume       = {348},
  year         = {2010},
}