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arXiv · 1803.01889

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

Fabio Ancona·Laura Caravenna·Andrea Marson
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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.

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Fabio Ancona, Laura Caravenna, Andrea Marson. 2018-03-05. On the structure of solutions for general hyperbolic systems of balance laws. https://arxiv.org/abs/1803.01889

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