18 citations · 29 across the 8 of their papers we have counts for
10 papers
Global existence for a 3D Tropical Climate Model with damping and small initial data in
Diego Berti, Luca Bisconti, Davide Catania
We consider a 3D Tropical Climate Model with damping terms in the equation of the barotropic mode and in the equation of the first baroclinic mode of the velocity. The equa…
A regularity criterion for a 3D tropical climate model with damping
Diego Berti, Luca Bisconti, Davide Catania
In this paper we deal with the 3D tropical climate model with damping terms in the equation of the barotropic mode and in the equation of the first baroclinic mode of the v…
On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations
Luca Bisconti, Davide Catania
We show the existence of an inertial manifold (i.e. a globally invariant, exponentially attracting, finite-dimensional manifold) for the approximate deconvolution model of the 2D m…
Weak stability of the plasma-vacuum interface problem
Davide Catania, Marcello D'Abbicco, Paolo Secchi
We consider the free boundary problem for the two-dimensional plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region, the flow is governed b…
Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region
Luca Bisconti, Davide Catania
We consider the 2D simplified Bardina turbulence model, with horizontal filtering, in an unbounded strip-like domain. We prove global existence and uniqueness of weak solutions in…
Global Attractor for the Navier-Stokes Equations with horizontal filtering
Luca Bisconti, Davide Catania
We consider a Large Eddy Simulation model for a homogeneous incompressible Newtonian fluid in a box space domain with periodic boundary conditions on the lateral boundaries and hom…
Stability of the linearized MHD-Maxwell free interface problem
Davide Catania, Marcello D'Abbicco, Paolo Secchi
We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region, the flow is governed by the usual comp…
Convergence of approximate deconvolution models to the mean Magnetohydrodynamics Equations: Analysis of two models
Luigi C. Berselli, Davide Catania, Roger Lewandowski
We consider two Large Eddy Simulation (LES) models for the approximation of large scales of the equations of Magnetohydrodynamics (MHD in the sequel). We study two -models, whic…
A dispersive estimate for the linear wave equation with an electromagnetic potential
Davide Catania
We consider radial solutions to the Cauchy problem for the linear wave equation with a small short-range electromagnetic potential (the "square version" of the massless Dirac equat…
Blow Up for the Semilinear Wave Equation in Schwarzschild Metric
Davide Catania, Vladimir Georgiev
We study the semilinear wave equation in Schwarzschild metric (3+1 dimensional space--time). First, we establish that the problem is locally well--posed in $\cs H^σ$ for any $σ\geq…