Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems
Analysis of PDEs
2011-04-12 v2
Abstract
We consider in this paper the well-posedness for the Cauchy problem associated to two-dimensional dispersive systems of Boussinesq type which model weakly nonlinear long wave surface waves. We emphasize the case of the {\it strongly dispersive} ones with focus on the "KdV-KdV" system which possesses the strongest dispersive properties and which is a vector two-dimensional extension of the classical KdV equation.
Keywords
Cite
@article{arxiv.1103.4159,
title = {Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems},
author = {Felipe Linares and Didier Pilod and Jean-Claude Saut},
journal= {arXiv preprint arXiv:1103.4159},
year = {2011}
}
Comments
26 pages; small changes in the proof of the Strichartz estimate