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Morawetz Inequalities for Water Waves

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Mathematics of Wave Phenomena

Part of the book series: Trends in Mathematics ((TM))

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Abstract

Morawetz estimates capture the long time local decay properties for various linear and nonlinear dispersive flows. In these notes we provide a brief overview of recent and ongoing work concerning Morawetz estimates for water waves in two space dimensions.

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Acknowledgements

The second author was partially supported by a Clare Boothe Luce Professorship. The third author was partially supported by the NSF grant DMS-1800294 as well as by a Simons Investigator grant from the Simons Foundation.

Author information

Authors and Affiliations

  1. CNRS and CMLA, École Normale Supérieure de Paris-Saclay, Cachan, France

    Thomas Alazard

  2. University of Wisconsin, Madison, WI, USA

    Mihaela Ifrim

  3. University of California, Berkeley, CA, USA

    Daniel Tataru

Authors
  1. Thomas Alazard
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  2. Mihaela Ifrim
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  3. Daniel Tataru
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Corresponding author

Correspondence to Daniel Tataru .

Editor information

Editors and Affiliations

  1. Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany

    Willy Dörfler

  2. Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany

    Marlis Hochbruck

  3. Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany

    Dirk Hundertmark

  4. Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany

    Wolfgang Reichel

  5. Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany

    Andreas Rieder

  6. Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany

    Roland Schnaubelt

  7. Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany

    Birgit Schörkhuber

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Alazard, T., Ifrim, M., Tataru, D. (2020). Morawetz Inequalities for Water Waves. In: Dörfler, W., et al. Mathematics of Wave Phenomena. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-47174-3_1

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