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math.AP2023
Rigid Lid limit in shallow water over a flat bottom
Benjamin Melinand
We perform the so-called rigid lid limit on different shallow water models such as the abcd Bousssinesq systems or the Green-Naghdi equations. To do so we consider an appropriate n…
math.AP2023
Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models
Benjamin Melinand
We study linear dispersive equations in dimension one and two for a class of radial nonhomogeneous phases. L 1 L type estimates, Strichartz estimates, local…