Zero Diffusion-Dispersion Limits for Scalar Conservation Laws

@article{Kondo2002ZeroDL,
  title={Zero Diffusion-Dispersion Limits for Scalar Conservation Laws},
  author={Cezar I. Kondo and Philippe G. LeFloch},
  journal={SIAM J. Math. Analysis},
  year={2002},
  volume={33},
  pages={1320-1329}
}
We consider solutions of hyperbolic conservation laws regularized with vanishing diffusion and dispersion terms. Following a pioneering work by Schonbek, we establish the convergence of the regularized solutions toward discontinuous solutions of the hyperbolic conservation law. The proof relies on the method of compensated compactness in the L 2 setting… CONTINUE READING