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
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