6 citations · 8 across the 8 of their papers we have counts for
8 papers
A Semidiscrete Lagrangian-Eulerian scheme for the LWR traffic model with discontinuous flux
Eduardo Abreu, Maria Teresa Chiri, Richard De la cruz +2
In this work, we present a semi-discrete scheme to approximate solutions to the scalar LWR traffic model with spatially discontinuous flux, described by the equation $u_t + (k(x)u(…
Vanishing viscosity limit for Riemann solutions to a hyperbolic system with linear damping
Richard De la cruz, Juan Juajibioy
In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of %delta shock solution solutions for the Riemann probl…
Delta shock solution to the generalized one-dimensional zero-pressure gas dynamics system with linear damping
Richard De la Cruz, Juan Carlos Juajibioy
In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of delta shock solution for a particular sy…
Delta shock wave for a hyperbolic system of conservation laws
Richard De la cruz, Juan C. Juajibioy, Juan Galvis +1
We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. This systems it is a simplification of a recently propose system of…
Global weak solutions for a 2X2 balance nonsymmetric system of Keyfitz-Kranzer type
Richar A De La Cruz G, Juan C. Juajibioy, Leonardo Rendon
In this paper we consider the existence of global weak entropy solutions for a particualr nonsymmetric Keyfitz-Kranzer type system, by using the compensated compactness method we g…
Asymptotic behavior of global entropy solutions for nonstrictly hyperbolic systems with linear damping
Juan C. Juajibioy, Richard A De la Cruz, Leonardo Rendon
In this paper we investigate the large time behavior of the global weak entropy solutions to the symmetric Keyftiz-Kranzer system with linear damping. It is proved that as t tends…
On the Riemann problem for the simplified Bouchut-Boyaval system
Richard A. De la cruz Guerrero, Juan Galvis, Juan Carlos Juajibioy +1
In this paper we study the one-dimensional Riemann problem for a new hyperbolic system of three conservation laws of Temple class. This systems it is a simplification of a recently…
Relaxation limit for Aw-Rascle system
Juan Carlos Juajibioy, Richard de la Cruz Guerrero, Leonardo Rendon
In this paper we apply the Invariant Regions Theory and the Compensated Compactness Method, to study the singular limit of stiff relaxation and domain diffusion for the Cauchy prob…