Freely floating structures trapping time-harmonic water waves (revisited)

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Kuznetsov, Nikolay; Motygin, Oleg;
  • Subject: Mathematical Physics | 76B15, 35Q35

We study the coupled small-amplitude motion of the mechanical system consisting of infinitely deep water and a structure immersed in it. The former is bounded above by a free surface, whereas the latter is formed by an arbitrary finite number of surface-piercing bodies ... View more
  • References (23)
    23 references, page 1 of 3

    [1] M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions, Dover, 1965.

    [2] J. T. Beale, Eigenfunction expansions for objects floating in an open sea. Comm. Pure Appl. Math. 30 (1977), 283-313.

    [3] D. V., Evans, R. Porter, Wave-free motions of isolated bodies and the existence of motion-trapped modes. J. Fluid Mech. 584 (2007), 225-234.

    [4] C. J. Fitzgerald, P. McIver, Passive trapped modes in the water-wave problem for a floating structure. J. Fluid Mech. 657 (2010), 456-477.

    [5] F. John, On the motion of floating bodies, I. Comm. Pure Appl. Math. 2 (1949), 13-57.

    [6] F. John, On the motion of floating bodies, II. Comm. Pure Appl. Math. 3 (1950), 45-101.

    [7] N. Kuznetsov, On uniqueness of a solution to the plane problem on interaction of surface waves with obstacle. J. Math. Sciences 150 (2008), 1860-1868.

    [8] N. Kuznetsov, On the problem of time-harmonic water waves in the presence of a freelyfloating structure. St. Petersburg Math. J. 22 (2011), 985-995.

    [9] N. Kuznetsov, V. Maz'ya, B. Vainberg, Linear Water Waves: A Mathematical Approach. (Cambridge University Press, Cambridge 2002).

    [10] N. Kuznetsov, O. Motygin, On the coupled time-harmonic motion of water and a body freely floating in it. J. Fluid Mech. 679 (2011), 616-627.

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