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math.AP2009
Large Time existence For 1D Green-Naghdi equations
Samer Israwi
We consider here the Green-Naghdi equations that are commonly used in coastal oceanography to describe the propagation of large amplitude surface waves. We show that the solu…
math.AP2009
Variable depth KDV equations and generalizations to more nonlinear regimes
Samer Israwi
We study here the water-waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It i…