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math.AP2020
On a cylinder freely floating in oblique waves
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-ph2020
A tale of two Nekrasov's integral equations
Nikolay Kuznetsov
Just 100 years ago, Nekrasov published the widely cited paper \cite{N1}, in which he derived the first of his two integral equations describing steady periodic waves on the free su…
math.AP2020
Metaharmonic functions: mean flux theorem, its converse and related properties
Nikolay Kuznetsov
The mean flux theorems are proved for solutions of the Helmholtz equation and its modified version. Also, their converses are considered along with some other properties which gene…