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On the structure of BV entropy solutions for hyperbolic systems of balance laws with general flux function

    https://doi.org/10.1142/S0219891619500139Cited by:2 (Source: Crossref)

    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 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 in [S. Bianchini and L. Yu, Global structure of admissible BV solutions to piecewise genuinely nonlinear, strictly hyperbolic conservation laws in one space dimension, Comm. Partial Differential Equations39(2) (2014) 244–273] for strictly hyperbolic system of conservation laws.

    Communicated by the Editors

    AMSC: 35L45, 35L65