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Interaction of shock waves in gas dynamics: Uniform in time asymptotics

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  • M. G. García-Alvarado
  • R. Flores-Espinoza
  • G. A. Omel'yanov

Abstract

We construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction.

Suggested Citation

  • M. G. García-Alvarado & R. Flores-Espinoza & G. A. Omel'yanov, 2005. "Interaction of shock waves in gas dynamics: Uniform in time asymptotics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-16, January.
  • Handle: RePEc:hin:jijmms:709309
    DOI: 10.1155/IJMMS.2005.3111
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    Cited by:

    1. Omel’yanov, G., 2020. "Collision of solitons in non-integrable versions of the Degasperis-Procesi model," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

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