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

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Author

Summary, in English

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.

Department/s

Publishing year

2010

Language

English

Pages

397-402

Publication/Series

Comptes Rendus Mathématique

Volume

348

Issue

7-8

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Status

Published

Research group

  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 1631-073X