English

On the structure of solutions for general hyperbolic systems of balance laws

Analysis of PDEs 2018-03-07 v1

Abstract

The paper describes the qualitative structure of BV entropy solutions of a strictly hyperbolic system of balance laws with characteristic fields either piecewise genuinely nonlinear or linearly degenerate. In particular, we provide an accurate description of the local and global wave-front structure of a BV solution generated by a fractional step scheme combined with a wave-front tracking algorithm. This extends the corresponding results by Binahcini and Yu for strictly hyperbolic systems of conservation laws.

Keywords

Cite

@article{arxiv.1803.01889,
  title  = {On the structure of solutions for general hyperbolic systems of balance laws},
  author = {Fabio Ancona and Laura Caravenna and Andrea Marson},
  journal= {arXiv preprint arXiv:1803.01889},
  year   = {2018}
}

Comments

30 pages, 5 figures