On the blowup mechanism of smooth solutions to 1D quasilinear strictly hyperbolic systems with large initial data

Jun Li, Gang Xu, Huicheng Yin

For the first order 1D $n\times n$ quasilinear strictly hyperbolic system ${\partial }_{t}u+F(u){\partial }_{x}u=0$ with $u(x,0)=\epsilon u_0(x)$, where $\epsilon >0$ is small, $u_0(x)…