On the Initial-value Problem for Zero-pressure Gas Dynamics

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 130))

Abstract

This paper is a survey of some recent development on the zero-pressure gas dynamics. We will state the mechanism of delta-shock and its propagation, construct the solutions of one-dimensional and two-dimensional Riemann problems, and then prove the existence of solutions to the general Cauchy problem.

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Li, J., Zhang, T. (1999). On the Initial-value Problem for Zero-pressure Gas Dynamics. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_14

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  • DOI: https://doi.org/10.1007/978-3-0348-8724-3_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9744-0

  • Online ISBN: 978-3-0348-8724-3

  • eBook Packages: Springer Book Archive

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