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Estimate for a solution to the water wave problem in the presence of a submerged body

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Abstract

We study the two-dimensional problem of propagation of linear water waves in deep water in the presence of a submerged body. Under some geometrical requirements, we derive an explicit bound for the solution depending on the domain and the functions on the right-hand side.

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Authors and Affiliations

  1. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK

    I. Kamotski

  2. Department of Mathematics, Linköping University, SE-581 83, Linköping, Sweden

    V. Mazýa

  3. Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, UK

    V. Mazýa

Authors
  1. I. Kamotski
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  2. V. Mazýa
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Correspondence to I. Kamotski or V. Mazýa.

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Dedicated to the memory of Mark Vishik

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Kamotski, I., Mazýa, V. Estimate for a solution to the water wave problem in the presence of a submerged body. Russ. J. Math. Phys. 20, 453–467 (2013). https://doi.org/10.1134/S1061920813040079

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  • DOI: https://doi.org/10.1134/S1061920813040079

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