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On Hyperbolic Balance Laws and Applications

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Innovative Algorithms and Analysis

Part of the book series: Springer INdAM Series ((SINDAMS,volume 16))

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Abstract

An overview of the current state of the theory of general strictly hyperbolic systems of balance laws in one space dimension is documented in this article. Results on global existence, stability and uniqueness of entropy weak solutions are stated and properties such as the decay of positive waves and the rate of convergence of viscous approximations are presented. The article concludes with an application on the existence of non-smooth isometric immersions into \(\mathbb{R}^{3}\).

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Acknowledgements

The author would like to thank the organizers of INdAM Workshop on Innovative Algorithms and Analysis that took place in Rome from May 17th until 20th of 2016 for the invitation and the warm hospitality.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Cyprus, Nicosia, 1678, Cyprus

    Cleopatra Christoforou

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  1. Cleopatra Christoforou
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Correspondence to Cleopatra Christoforou .

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Editors and Affiliations

  1. Istituto per le Applicazioni del Calcolo CNR, Rome, Italy

    Laurent Gosse

  2. Istituto per le Applicazioni del Calcolo CNR, Rome, Italy

    Roberto Natalini

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Christoforou, C. (2017). On Hyperbolic Balance Laws and Applications. In: Gosse, L., Natalini, R. (eds) Innovative Algorithms and Analysis. Springer INdAM Series, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-319-49262-9_5

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