Energy equalities for the 2D reduced‐gravity two‐and‐a‐half layer system

Abstract

In this work, we study the energy balance for the weak solutions of a reduced‐gravity two‐and‐a‐half model in oceanic fluid dynamics. Inspired by the work of Nguyen et al. (2020), based on some delicate commutator estimates, we prove the energy conservation in 2D bounded domains under certain regularity conditions.