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A New Class of Two‐Layer Green–Naghdi Systems with Improved Frequency Dispersion

A New Class of Two‐Layer Green–Naghdi Systems with Improved Frequency Dispersion

We introduce a new class of Green-Naghdi type models for the propagation of internal waves between two (1+1)-dimensional layers of homogeneous, immiscible, ideal, incompressible, irrotational fluids, vertically delimited by a flat bottom and a rigid lid. These models are tailored to improve the frequency dispersion of the original bi-layer Green-Naghdi …