Roberta Bianchini

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math.AP2024

Strong ill-posedness in $L^{\infty}$ of the 2d Boussinesq equations in vorticity form and application to the 3d axisymmetric Euler Equations

Roberta Bianchini, Lars Eric Hientzsch, Felice Iandoli

We prove the strong ill-posedness in the sense of Hadamard of the two-dimensional Boussinesq equations in $W^{1, \infty} (R^{2})$ without boundary, extending to the case of s…

math.AP2024

On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity

Vincent DuchÃªne, Roberta Bianchini

This article is concerned with rigorously justifying the hydrostatic limit for continuously stratified incompressible fluids under the influence of gravity. The main distinction of…

Strong ill-posedness in L∞ of the 2d Boussinesq equations in vorticity form and application to the 3d axisymmetric Euler Equations

On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity

Strong ill-posedness in $L^{\infty}$ of the 2d Boussinesq equations in vorticity form and application to the 3d axisymmetric Euler Equations