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math.AP2025
Instabilities of internal gravity waves in the two-dimensional Boussinesq system
R. Bianchini, A. Maspero, S. Pasquali
We consider a two-dimensional, incompressible, inviscid fluid with variable density, subject to the action of gravity. Assuming a stable equilibrium density profile, we adopt the s…
math.AP2025
Sharp asymptotic stability of the incompressible porous media equation
Roberta Bianchini, Min Jun Jo, Jaemin Park +1
In this paper, we prove the asymptotic stability of the incompressible porous media (IPM) equation near a stable stratified density, for initial perturbations in the Sobolev space…