Stability of periodic travelling shallow-water waves determined by Newton`s equation


Autoria(s): HAKKAEV, Sevdzhan; ILIEV, Iliya D.; KIRCHEV, Kiril
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2008

Resumo

We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove orbital stability, we use the abstract results of Grillakis-Shatah-Strauss and the Floquet theory for periodic eigenvalue problems.

Identificador

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.41, n.8, 2008

1751-8113

http://producao.usp.br/handle/BDPI/30799

10.1088/1751-8113/41/8/085203

http://dx.doi.org/10.1088/1751-8113/41/8/085203

Idioma(s)

eng

Publicador

IOP PUBLISHING LTD

Relação

Journal of Physics A-mathematical and Theoretical

Direitos

restrictedAccess

Copyright IOP PUBLISHING LTD

Palavras-Chave #CAMASSA-HOLM EQUATION #COMPRESSIBLE ELASTIC RODS #LOCAL WELL-POSEDNESS #SOLITARY WAVES #BLOW-UP #MODEL-EQUATIONS #ORBITAL STABILITY #BREAKING WAVES #CAUCHY-PROBLEM #LONG WAVES #Physics, Multidisciplinary #Physics, Mathematical
Tipo

article

original article

publishedVersion