9 citations · 32 across the 19 of their papers we have counts for
6 papers · 1 filter
Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation
Roberta Bianchini, Roberto Natalini
This article is concerned with the asymptotic behavior of the two-dimensional inviscid Boussinesq equations with a damping term in the velocity equation. Precisely, we provide the…
Soft congestion approximation to the one-dimensional constrained Euler equations
Roberta Bianchini, Charlotte Perrin
This article is concerned with the analysis of the one-dimensional compressible Euler equations with a singular pressure law, the so-called hard sphere equation of state. The resul…
Linear inviscid damping for shear flows near Couette in the 2D stably stratified regime
Roberta Bianchini, Michele Coti Zelati, Michele Dolce
We investigate the linear stability of shears near the Couette flow for a class of 2D incompressible stably stratified fluids. Our main result consists of nearly optimal decay rate…
One-dimensional turbulence with Burgers
Roberta Bianchini, Anne-Laure Dalibard
Gathering together some existing results, we show that the solutions to the one-dimensional Burgers equation converge for long times towards the stationary solutions to the steady…
Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition
Roberta Bianchini, Gigliola Staffilani
We revisit a method introduced by Tartar for proving global well-posedness of a semilinear hyperbolic system with null quadratic source in one space dimension. A remarkable point i…
Relative entropy in diffusive relaxation for a class of discrete velocities BGK models
Roberta Bianchini
We provide a framework to extend the relative entropy method to a class of diffusive relaxation systems with discrete velocities. The methodology is detailed in the toy case of the…