The paper describes the qualitative structure of BV entropy solutions of a general strictly hyperbolic system of balance laws with characteristic field either piecewise genuinely non- linear 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 which were obtained in [Bianchini-Yu] for strictly hyperbolic system of conservation laws.
On the Structure of BV Entropy Solutions for Hyperbolic Systems of Balance Laws with General Flux Function
ANCONA, FABIO;CARAVENNA, LAURA;MARSON, ANDREA
2019
Abstract
The paper describes the qualitative structure of BV entropy solutions of a general strictly hyperbolic system of balance laws with characteristic field either piecewise genuinely non- linear 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 which were obtained in [Bianchini-Yu] for strictly hyperbolic system of conservation laws.
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