9 citations · 32 across the 19 of their papers we have counts for
21 papers
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…
Hard-congestion limit of the p-system in the BV setting
Fabio Ancona, Roberta Bianchini, Charlotte Perrin
This note is concerned with the rigorous justification of the so-called hard congestion limit from a compressible system with singular pressure towards a mixed compressible-incompr…
Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation
Roberta Bianchini, Timothée Crin-Barat, Marius Paicu
We prove the nonlinear asymptotic stability of stably stratified solutions to the Incompressible Porous Media equation (IPM) for initial perturbations in $\dot H^{1-τ}(\mathbb{R}^2…
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…
Reflection of internal gravity waves in the form of quasi-axisymmetric beams
Roberta Bianchini, Thierry Paul
Preservation of the angle of reflection when an internal gravity wave hits a sloping boundary generates a focusing mechanism if the angle between the direction of propagation of th…
Linear boundary layer analysis of the near-critical reflection of internal gravity waves with different sizes of viscosity and diffusivity
Roberta Bianchini, Gianluca Orrù
The aim of this work is to make a further step towards the understanding of the near-critical reflection of internal gravity waves from a slope in the more general and realistic co…