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Pré-Publication, Document De Travail Année : 2019

ON THE EXTENDED GREEN-NAGHDI SYSTEM FOR AN UNEVEN BOTTOM WITH SURFACE TENSION

Résumé

In this paper, a derivation of the two-dimensional asymptotic nonlinear highly dispersive shallow-water extended Green-Naghdi system for an uneven bottom is represented. Then we consider the one-dimensional case of this model taking into consideration the e ect of a small surface tension. We show that the construction of solution with a standard Picard iterative scheme can be accomplished in which the well-posedness in X s = H s+2 (R) ◊ H s+2 (R) for some s > 3 2 , of the modified extended one-dimensional system for a finite large time existence t = O(1 Á‚-) is proved.
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Dates et versions

hal-02189917 , version 1 (22-07-2019)

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  • HAL Id : hal-02189917 , version 1

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Bashar Khorbatly, Samer Israwi. ON THE EXTENDED GREEN-NAGHDI SYSTEM FOR AN UNEVEN BOTTOM WITH SURFACE TENSION. 2019. ⟨hal-02189917⟩
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