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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
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.AP2024
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…