On the existence and conditional energetic stability of solitary water waves with weak surface tension
(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:
https://lup.lub.lu.se/record/1603946
- author
- Groves, Mark D. and Wahlén, Erik LU
- organization
- publishing date
- 2010
- 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}}, }