L 1 Stability Estimates for N X N Conservation Laws

@inproceedings{Liu1998L1S,
  title={L 1 Stability Estimates for N X N Conservation Laws},
  author={Tai-Ping Liu and Tong Yang},
  year={1998}
}
Let u t + f(u) x = 0 be a strictly hyperbolic n n system of conservation laws, each characteristic eld being linearly degenerate or genuinely nonlinear. In this paper we explicitly deene a functional = (u; v), equivalent to the L 1 distance, which is \almost decreasing" i.e. ? u(t); v(t) ? ? u(s); v(s) O(") (t ? s) for all t > s 0; for every couple of "-approximate solutions u; v with small total variation, generated by a wave front tracking algorithm. The small parameter " here controls the… CONTINUE READING
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