Ill-Posedness of the Hydrostatic Euler–Boussinesq Equations and Failure of Hydrostatic Limit
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DOI: 10.1007/s00220-025-05423-1
Abstract: We investigate the hydrostatic approximation for inviscid stratified fluids, described by the two-dimensional Euler–Boussinesq equations in a periodic channel. Through a perturbative analysis of the hydrostatic homogeneous setting, we exhibit a stratified steady state violating… read more here.
Keywords: euler; euler boussinesq; hydrostatic limit; ill posedness ... See more keywords