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The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II
Jean-Claude Saut, Chao Wang, Li Xu
Source abstract
This paper is a continuation of a previous work by two of the authors [J.-C. Saut and Li Xu, J. Math. Pures Appl. (9), 97 (2012), pp. 635--662.] on long time existence for Boussinesq systems modeling the propagation of long, weakly nonlinear water waves. We provide proofs on examples not considered in the Sant and Xu paper; in particular, we prove a long time well-posedness result for a delicate “strongly dispersive” Boussinesq system.
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