TY - JOUR
T1 - Existence of Global Smooth Solution to Jin-Xin Model with Large Initial Data
AU - Lizhi Ruan  & Zhiyong Zhang 
JO - Journal of Partial Differential Equations
VL - 2
SP - 163
EP - 172
PY - 2004
DA - 2004/05
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5384.html
KW - Jin-Xin model
KW - maximum principle
KW - global smooth solution
AB -  In this paper, Under the assumption that the relaxation time ε is sufficiently small, we prove the existence of the global smooth solution to the Cauchy problem for the Jin-Xin model without any smallness assumption for the initial data. The analysis is based on some a priori estimates which are obtained by the method of characteristic and the maximum principle of first-order quasilinear hyperbolic system.