Boundary Value Problems For The Beginning Of The Quasilinear Hyperbolic Right-angle Asymptotic Behavior Of Global Classical Solution

This paper deals with the asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems of diagonal form with weakly linearly degenerate characteristic fields. We first prove the global existence and uniqueness of Cl solution, then we prove that the solution to the mixed initial-boundary problem approches a combination of C1 traveling wave solutions when t tends to the infinity.