62 citations · 241 across the 24 of their papers we have counts for
6 papers · 1 filter
Dispersive shocks in Quantum Hydrodynamics with viscosity
Corrado Lattanzio, Pierangelo Marcati, Delyan Zhelyazov
In this paper we study existence and stability of shock profiles for a 1-D compressible Euler system in the context of Quantum Hydrodynamic models. The dispersive term is originate…
Metastability and layer dynamics for the hyperbolic relaxation of the Cahn-Hilliard equation
Raffaele Folino, Corrado Lattanzio, Corrado Mascia
The goal of this paper is to accurately describe the metastable dynamics of the solutions to the hyperbolic relaxation of the Cahn-Hilliard equation in a bounded interval of the re…
Two algorithms for a fully coupled and consistently macroscopic PDE-ODE system modeling a moving bottleneck on a road
Gabriella Bretti, Emiliano Cristiani, Corrado Lattanzio +2
In this paper we propose two numerical algorithms to solve a coupled PDE-ODE system which models a slow vehicle (bottleneck) moving on a road together with other cars. The resultin…
Spectral stability of traveling fronts for nonlinear hyperbolic equations of bistable type
Corrado Lattanzio, Corrado Mascia, Ramón G. Plaza +1
This paper addresses the existence and spectral stability of traveling fronts for nonlinear hyperbolic equations with a positive "damping" term and a reaction function of bistable…
Kinetic schemes for assessing stability of traveling fronts for the Allen-Cahn equation with relaxation
Corrado Lattanzio, Corrado Mascia, Ramón G. Plaza +1
This paper deals with the numerical (finite volume) approximation of reaction-diffusion systems with relaxation, among which the hyperbolic extension of the Allen--Cahn equation re…
Motion of interfaces for a damped hyperbolic Allen-Cahn equation
Raffaele Folino, Corrado Lattanzio, Corrado Mascia
Consider the Allen-Cahn equation , where is a double well potential with wells of equal depth, located at . There are a lot of papers devoted t…