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math-ph2015
Two-dimensional water waves in the presence of a freely floating body: conditions for the absence of trapped modes
Nikolay Kuznetsov
The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth int…
math-ph2015★ 1 cited
On Delusive Nodes of Free Oscillations
Nikolay Kuznetsov
Two theorems and one conjecture about nodal sets of eigenfunctions arising in various spectral problems for the Laplacian are reviewed. It occurred that all these assertions are in…