EXISTENCE OF GLOBAL SMOOTH SOLUTION TO JIN-XIN MODEL WITH LARGE INITIAL DATA

摘要

In this paper, Under the assumption that the relaxation time e is suf-ficiently small, we prove the existence of the global smooth solution to the Cauchyproblem 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 ofcharacteristic and the maximum principle of first-order quasilinear hyperbolic system.