2 papers
math.AP2024
Strong ill-posedness in 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 without boundary, extending to the case of s…
math.AP2024
On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity
Vincent Duchêne, 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…