arXiv subjects

Juan C. Juajibioy

Publications and source records attributed to Juan C. Juajibioy.

4 recordsLinked to original sources

arXiv2015

Delta shock wave for a $3 \times 3$ hyperbolic system of conservation laws

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 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. We show 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.

math.AP↗

arXiv2015

Global weak solutions for a 2X2 balance nonsymmetric system of Keyfitz-Kranzer type

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

math.AP↗

arXiv2014

Regularity of viscous solutions for a degenerate nonlinear Cauchy problem

We consider the Cauchy problem for a class of nonlinear degenerate parabolic equa- tion with forcing. By using the vanishing viscosity method we obtain generalized solutions. We prove some regularity results about this generalized solutions.

math.AP↗

arXiv2014

Asymptotic behavior of global entropy solutions for nonstrictly hyperbolic systems with linear damping

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

math.AP↗