TY - JOUR T1 - Existence of Global Smooth Solution to Jin-Xin Model with Large Initial Data 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.