1 citations · 1 across the 4 of their papers we have counts for
5 papers
Non Existence of the Stable 2D Boussinesq Equations in via Density-Vorticity Feedback
Roberta Bianchini, Luis Martínez-Zoroa
We establish instantaneous norm explosion for the two-dimensional Boussinesq equations around the linearly stable background profile . While previous ill-posedness resu…
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…
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…
Non Existence and Strong Ill-Posedness in for the Stable IPM Equation
Roberta Bianchini, Diego Córdoba, Luis Martínez-Zoroa
We prove the non-existence and strong ill-posedness of the Incompressible Porous Media (IPM) equation for initial data that are small perturbations of the linea…
A new look at the controllability cost of linear evolution systems with a long gaze at localized data
Roberta Bianchini, Vincent Laheurte, Franck Sueur
We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evol…