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20062025
most citedRelative entropy in diffusive relaxation

62 citations · 241 across the 24 of their papers we have counts for

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math.AP2025

Dissipative structure and decay rate for an inviscid non-equilibrium radiation hydrodynamics system

Corrado Lattanzio, Ramón G. Plaza, José Manuel Valdovinos

This paper studies the diffusion approximation, non-equilibrium model of radiation hydrodynamics derived by Buet and Després (J. Quant. Spectrosc. Radiat. Transf. 85 (2004), no. 3-…

math.AP2025★ 1 cited

Existence and spectral stability analysis of viscous-dispersive shock profiles for isentropic compressible fluids of Korteweg type

R. Folino, C. Lattanzio, R. G. Plaza

The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is conside…

math.AP2023

Minimization of a Ginzburg-Landau functional with mean curvature operator in 1-D

Raffaele Folino, Corrado Lattanzio

The aim of this paper is to investigate the minimization problem related to a Ginzburg-Landau energy functional, where in particular a nonlinear diffusion of mean curvature-type is…

math.AP2022

High friction limits of Euler-Navier-Stokes-Korteweg equations for multicomponent models

Giada Cianfarani Carnevale, Corrado Lattanzio

In this paper we analyze the high friction regime for the Navier Stokes Korteweg equations for multicomponent systems. According to the shape of the mixing and friction terms, we s…

math.AP2021

Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity

Corrado Lattanzio, Delyan Zhelyazov

In this paper we investigate spectral stability of traveling wave solutions to 1- quantum hydrodynamics system with nonlinear viscosity in the , that is, density and velo…

math.AP2021

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…