GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE TYPICAL FREE BOUNDARY PROBLEM FOR GERENAL QUASILINEAR HYPERBOLIC SYSTEMS AND ITS APPLICATIONS

摘要

In this paper the authors prove the existence and uniqueness of global classicalsolutions to the typical free boundary problem for general quasilinear hyperbolic systems.As an application,a unique global discontinuous solution only containing n shocks ont≥0 is obtained for a class of generalized Riemann problem for the quasilinear hyperbolicsystem of n conservation laws.