3 papers
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.AP2025
Dissipative structure of higher order regularizations of hyperbolic systems of conservation laws in several space dimensions
Felipe Angeles, Ramón G. Plaza, José Manuel Valdovinos
This work studies the dissipative structure of regularizations of any order of hyperbolic systems of conservation laws in several space dimensions. It is proved that the seminal eq…