Finite time blow-up and breaking of solitary wind waves
Carregando...
Data
2014-07-09
Autores
Manna, M. A.
Montalvo, P.
Kraenkel, R. A. [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Amer Physical Soc
Resumo
The evolution of surface water waves in finite depth under wind forcing is reduced to an antidissipative Korteweg-de Vries-Burgers equation. We exhibit its solitary wave solution. Antidissipation accelerates and increases the amplitude of the solitary wave and leads to blow-up and breaking. Blow-up occurs in finite time for infinitely large asymptotic space so it is a nonlinear, dispersive, and antidissipative equivalent of the linear instability which occurs for infinite time. Due to antidissipation two given arbitrary and adjacent planes of constant phases of the solitary wave acquire different velocities and accelerations inducing breaking. Soliton breaking occurs in finite space in a time prior to the blow-up. We show that the theoretical growth in amplitude and the time of breaking are both testable in an existing experimental facility.
Descrição
Palavras-chave
Como citar
Physical Review E. College Pk: Amer Physical Soc, v. 90, n. 1, 4 p., 2014.