The Singularity Formation Of The Classical Solution Of The Quasi-linear Hyperbolic Group With Constant Weight Characteristics

The formation of classical solutions to quasilinear hyperbolic systems has been studied extensively.This paper mainly studies quasilinear nonstrictly hyperbolic system with constant multiplicity characteristics.In this paper,under the assumption that constant multiplicity characteristics are linear degeneracy in u=0,weakening decaying of initial date,we discussed formation of singularities and the life span of the classical solution to quasilinear hyperbolic system for the Cauchy problem with small and weaker decaying initial date with the continuous induction.This paper is mainly divided into three parts,the main content is as follows.The first chapter gives the introduction,including the previous results of quasilinear hyperbolic equations and main results of this paper.The second chapter gives the related preliminary knowledge.The third chapter proves the main results of this paper.In other words,it proves formation of singularities and the life span of the classical solution to quasilinear hyperbolic system for the Cauchy problem.