The Generalized Riemann Problem for First Order Quasilinear Hyperbolic Systems of Conservation Laws II

@article{Chen2008TheGR,
title={The Generalized Riemann Problem for First Order Quasilinear Hyperbolic Systems of Conservation Laws II},
author={S. Chen and X. Han and H. Zhang},
journal={Acta Applicandae Mathematicae},
year={2008},
volume={108},
pages={235-277}
}

In this paper, we are concerned with the existence and uniqueness of the local solution to the generalized Riemann problem for first order quasi-linear hyperbolic systems of conservation laws in the presence of the shock wave with large amplitude and the centered wave. Apart from some exceptions, we prove the problem admits a unique piecewise smooth solution u=u(t,x), and this solution has a structure similar to the similarity solution u=u(x/t) of the corresponding Riemann problem in the… Expand