15 citations · 72 across the 26 of their papers we have counts for
24 papers · 1 filter
Numerical simulations of the Gatenby-Gawlinski model with heterogeneous acid diffusion in one space dimension
Chiara Simeoni, Elisa Scanu, Donato Pera +1
In this work, we introduce a variant of the Gatenby-Gawlinski model for acid-mediated tumor invasion in the one-dimensional experimental setting, accounting for heterogeneous diffu…
Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime
Thierry Goudon, Pauline Lafitte, Corrado Mascia
Starting from coupled fluid-kinetic equations for the modeling of laden flows, we derive relevant viscous corrections to be added to asymptotic hydrodynamic systems, by means of Ch…
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity
Thierry Gallay, Corrado Mascia
Motivated by tumor growth in Cancer Biology, we provide a complete analysis of existence and non-existence of invasive fronts for the reduced Gatenby--Gawlinski model \[ \partial_t…
Propagating Fronts for a Viscous Hamer-Type system
Giada Cianfarani Carnevale, Corrado Lattanzio, Corrado Mascia
Motivated by radiation hydrodynamics, we analyse a 2x2 system consisting of a one-dimensional viscous conservation law with strictly convex flux -- the viscous Burgers' equation be…
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…
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…