arXiv subjects
Publications and source records attributed to 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 get bounde entropy weak solutions
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 to infinite the entropy solutions tend to zero in the L p norm
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 propose system of five conservations laws by Bouchut and Boyaval that model viscoelastic fluids. An important issues is that the considered $3 \times 3$ system is such that every characteristic field is linearly degenerate. Then, in despite of the fact that it is of Temple class, the analysis of the Cauchy problem is more involved since general results for such a systems are not yet available. We show a explicit solution for the Cauchy problem with initial data in $L^\infty$. We also study the Riemann problem for this system. Under suitable generalized Rankine-Hugoniot relation and entropy condition, both existence and uniqueness of particular delta-shock type solutions are established.
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 problem of Aw-Rascle system.