Abstract
The aim of this paper is to give an alternative proof for the derivation of a prior energy estimate. Consequently, this allows to define a natural energy norm of the long‐term well‐posedness result established by Israwi (Derivation and analysis of a new 2D Green–Naghdi system, Nonlinearity, 2010, 23, 2889–2904) but for the original system, in which the partial operator is not involved.
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