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

*Kuznetsov, Nikolay*;

*Motygin, Oleg*;

- Subject: Mathematical Physics | 76B15, 35Q35

- References (23)
[1] M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions, Dover, 1965.

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[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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