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

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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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Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik
Originalspråkengelska
Sidor (från-till)397-402
TidskriftComptes Rendus Mathématique
Volym348
Utgåva nummer7-8
StatusPublished - 2010
PublikationskategoriForskning
Peer review utfördJa