most citedIll-posedness of the hydrostatic Euler-Boussinesq equations and failure of hydrostatic limit

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math.AP2024★ 1 cited

Ill-posedness of the hydrostatic Euler-Boussinesq equations and failure of hydrostatic limit

Roberta Bianchini, Michele Coti Zelati, Lucas Ertzbischoff

We investigate the hydrostatic approximation for inviscid stratified fluids, described by the two-dimensional Euler-Boussinesq equations in a periodic channel. Through a perturbati…

math.AP2023

Symmetrization and asymptotic stability in non-homogeneous fluids around stratified shear flows

Roberta Bianchini, Michele Coti Zelati, Michele Dolce

Significant advancements have emerged in the theory of asymptotic stability of shear flows in stably stratified fluids. In this comprehensive review, we spotlight these recent deve…