TY - JOUR
T1 - Convergence of Approximate Solutions for Quasilinear Hyperbolic Conservation Laws with Relaxation
AU - Fagui Liu 
JO - Journal of Partial Differential Equations
VL - 4
SP - 289
EP - 300
PY - 1998
DA - 1998/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5571.html
KW - Compensated compactness
KW - entropy flux pair
KW - conservation laws
KW - relaxation
AB -  In this article the author considers the limiting behavior of quasilinear hyperbolic conservation laws with relaxation, particularly the zero relaxation limit. Our analysis includes the construction of suitably entropy flux pairs to deduce the L∞ estimate of the solutions, and the theory of compensated compactness is then applied to study the convergence of the approximate solutions to its Cauchy problem.