January  2005, 12(1): 161-174. doi: 10.3934/dcds.2005.12.161

On generalized Benjamin type equations

1. 

IMPA, Estrada Dona Castorina 110, Rio de Janeiro, 22460-320

2. 

IMECC-UNICAMP, Campinas, 13081-970, Brazil

Received  May 2003 Revised  June 2004 Published  December 2004

We establish local and global well-posedness for the initial value problem associated to the generalized Benjamin equation and generalizations of this in the energy space. We also studied the limit process of solutions when the surface tension is becoming small. To establish these results we make use of sharp theory developed to the study of the generalized Korteweg-de Vries equation.
Citation: Felipe Linares, M. Scialom. On generalized Benjamin type equations. Discrete and Continuous Dynamical Systems, 2005, 12 (1) : 161-174. doi: 10.3934/dcds.2005.12.161
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