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Quasilinear hyperbolic systems

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Abstract

We construct global solutions for quasilinear hyperbolic systems and study their asymptotic behaviors. The systems include models of gas flows in a variable area duct and flows with a moving source. Our analysis is based on a numerical scheme which generalizes the Glimm scheme for hyperbolic conservation laws.

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Authors and Affiliations

  1. Institute of Physical Science and Technology, and Department of Mathematics, University of Maryland, 20742, College Park, Maryland, USA

    Tai-Ping Liu

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  1. Tai-Ping Liu
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Communicated by J. Glimm

Partially supported by National Science Foundation Grant NSF MCS78-2202

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Liu, TP. Quasilinear hyperbolic systems. Commun.Math. Phys. 68, 141–172 (1979). https://doi.org/10.1007/BF01418125

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  • DOI: https://doi.org/10.1007/BF01418125

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