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Semi-Hyperbolic Waves in Two-Dimensional Compressible Euler Systems

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Nonlinear Conservation Laws and Applications

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 153))

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Abstract

We describe a patch in the self-similar plane as a semi-hyperbolic wave which is locally hyperbolic, but not all characteristics in the patch leads to given boundary data, for the two-dimensional compressible Euler system of equations.

AMS(MOS) subject classifications. Primary 35L65, 35J70, 35R35.

Research supported in part by NSF grant DMS-0908207.

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Reference

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Author information

Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, UP, PA, 16802, USA

    Yuxi Zheng

Authors
  1. Yuxi Zheng
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Editor information

Editors and Affiliations

  1. McAllister Bldg 201, University Park, 16802-6401, Pennsylvania, USA

    Alberto Bressan

  2. , Oxford Centre for Nonlinear PDE, Mathema, University of Oxford, St Giles 24–29, Oxford, OX1 3LB, Montserrat

    Gui-Qiang G. Chen

  3. , School of Mathematics, University of Minnesota, Church Street S.E, 206, Minneapolis, 55455, Minnesota, USA

    Marta Lewicka

  4. , Department of Mathematics, University of Pittsburgh, Pittsburgh, 15260, Pennsylvania, USA

    Dehua Wang

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Zheng, Y. (2011). Semi-Hyperbolic Waves in Two-Dimensional Compressible Euler Systems. In: Bressan, A., Chen, GQ., Lewicka, M., Wang, D. (eds) Nonlinear Conservation Laws and Applications. The IMA Volumes in Mathematics and its Applications, vol 153. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9554-4_27

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