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Weak Shock Reflection

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A Celebration of Mathematical Modeling

Abstract

An asymptotic analysis of the regular and Mach reflection of weak shocks leads to shock reflection problems for the unsteady transonic small disturbance equation. Numerical solutions of this equation resolve the von Neumann triple point paradox for weak shock Mach reflection. Related equations describe steady transonic shock reflections, weak shock focusing, and nonlinear hyperbolic waves at caustics.

Partially supported by the NSF under grant numbers DMS-0309648 and FRG-0243622.

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Authors and Affiliations

  1. University of California at Davis, Davis, CA, 95616, USA

    John K. Hunter & Allen M. Tesdall

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  1. John K. Hunter
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  2. Allen M. Tesdall
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Editors and Affiliations

  1. Department of Aerospace Engineering, Technion — Israel Institute of Technology, Haifa, Israel

    Dan Givoli

  2. Department of Mathematics, University of Basel, Basel, Switzerland

    Marcus J. Grote

  3. Department of Mathematics, Stanford University, Stanford, California, USA

    George C. Papanicolaou

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© 2004 Springer Science+Business Media Dordrecht

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Hunter, J.K., Tesdall, A.M. (2004). Weak Shock Reflection. In: Givoli, D., Grote, M.J., Papanicolaou, G.C. (eds) A Celebration of Mathematical Modeling. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0427-4_6

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  • DOI: https://doi.org/10.1007/978-94-017-0427-4_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6526-1

  • Online ISBN: 978-94-017-0427-4

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