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Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hyperbolic Conservation Laws

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 129))

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Abstract

We discuss some recent developments and ideas in studying the compactness and asymptotic behavior of entropy solutions without locally bounded variation for nonlinear hyperbolic systems of conservation laws. Several classes of nonlinear hyperbolic systems with resonant or linear degeneracy are analyzed. The relation of the asymptotic problems to other topics such as scale-invariance, compactness of solutions, and singular limits is described.

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Authors and Affiliations

  1. Department of Mathematics, Northwestern University, Lunt Hall, 2033 Sheridan Road, Evanston, IL, 60208-2730, USA

    Chen Gui-Qiang

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  1. Chen Gui-Qiang
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Editor information

Editors and Affiliations

  1. Seminar for Applied Mathematics, ETH Zentrum, 8092, Zürich, Switzerland

    Michael Fey  & Rolf Jeltsch  & 

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© 1999 Springer Basel AG

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Gui-Qiang, C. (1999). Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hyperbolic Conservation Laws. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_16

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  • DOI: https://doi.org/10.1007/978-3-0348-8720-5_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9742-6

  • Online ISBN: 978-3-0348-8720-5

  • eBook Packages: Springer Book Archive

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