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Global Weak Solutions for a Shallow Water Equation

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Abstract:

We show the existence and uniqueness of global weak solutions for an equation describing the motion of waves at the free surface of shallow water under the influence of gravity.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland, , , , , , CH

    Adrian Constantin & Luc Molinet

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  1. Adrian Constantin
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  2. Luc Molinet
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Received: 26 June 1999 / Accepted: 21 October 1999

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Constantin, A., Molinet, L. Global Weak Solutions for a Shallow Water Equation. Comm Math Phys 211, 45–61 (2000). https://doi.org/10.1007/s002200050801

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  • DOI: https://doi.org/10.1007/s002200050801

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