Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems

Details Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems

2011-03-21

arxiv.org/abs/1103.4159v2

Mathematics

Analysis of PDEs

26 pages; small changes in the proof of the Strichartz estimate

Scientific paper

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.

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