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Some Wellposedness Results for the Ostrovsky–Hunter Equation

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Hyperbolic Conservation Laws and Related Analysis with Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 49))

Abstract

The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. In this paper the welposedness of the Cauchy problem and of an initial boundary value problem associated to this equation is studied.

2000 Mathematics Subject Classification 35G25, 35G15, 35L65, 35L05, 35A05

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Bari, via E. Orabona 4, I–70125, Bari, Italy

    G. M. Coclite & L. di Ruvo

  2. Centre of Mathematics for Applications (CMA), University of Oslo, 1053, Blindern, N–0316, Oslo, Norway

    K. H. Karlsen

Authors
  1. G. M. Coclite
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  2. L. di Ruvo
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  3. K. H. Karlsen
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Corresponding author

Correspondence to G. M. Coclite .

Editor information

Editors and Affiliations

  1. University of Oxford Mathematical Institute, Oxford, United Kingdom

    Gui-Qiang G. Chen

  2. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

    Helge Holden

  3. University of Oslo Centre of Mathematics for Applications, Oslo, Norway

    Kenneth H. Karlsen

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Coclite, G.M., Ruvo, L.d., Karlsen, K.H. (2014). Some Wellposedness Results for the Ostrovsky–Hunter Equation. In: Chen, GQ., Holden, H., Karlsen, K. (eds) Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Proceedings in Mathematics & Statistics, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39007-4_7

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