12 citations · 14 across the 9 of their papers we have counts for
11 papers
On the exchange of stability for the subcritical laminar flow
Vladimir Kozlov, Oleg Motygin
We consider steady water waves in a two-dimensional channel bounded below by a flat, rigid bottom and above by a free surface. Surface tension is neglected, and the flow is rotatio…
On sloshing in containers with porous baffles
Nikolay Kuznetsov, Oleg Motygin
Sloshing eigenvalues are studied for containers with porous baffles extending throughout the constant (possibly infinite) depth. The fluid transmission across the baffles is descri…
Two-dimensional sloshing: domains with interior `high spots'
Nikolay Kuznetsov, Oleg Motygin
Considering the two-dimensional sloshing problem, our main focus is to construct domains with interior high spots; that is, points, where the free surface elevation for the fundame…
Sloshing in vertical cylinders with circular walls: the effect of radial baffles
Nikolay Kuznetsov, Oleg Motygin
The behaviour of sloshing eigenvalues and eigenfunctions is studied for vertical cylindrical containers that have circular walls and constant (possibly infinite) depth. The effect…
On regularization of the Heun functions
Oleg V. Motygin
In the paper we consider the Heun functions, which are solutions of the equation introduced by Karl Heun in 1889. The Heun functions generalize many known special functions and app…
On evaluation of the confluent Heun functions
Oleg V. Motygin
In this paper we consider the confluent Heun equation, which is a linear differential equation of second order with three singular points --- two of them are regular and the third…
Sloshing of a two-layer fluid in a vertical cylinder of constant depth
Nikolay Kuznetsov, Oleg Motygin
Sloshing eigenvalues and eigenfunctions are studied for vertical cylinders of constant, finite depth occupied by a two-layer fluid. Two families of eigenfrequencies are obtained in…
On freely floating bodies trapping time-harmonic waves in water covered by brash ice
Nikolay Kuznetsov, Oleg Motygin
A mechanical system consisting of water covered by brash ice and a body freely floating near equilibrium is considered. The water occupies a half-space into which an infinitely lon…
On evaluation of the Heun functions
Oleg V. Motygin
In the paper we deal with the Heun functions --- solutions of the Heun equation, which is the most general Fuchsian equation of second order with four regular singular points. Desp…
On computation of oscillating integrals of ship-wave theory
Oleg V. Motygin
Green's function of the problem describing steady forward motion of bodies in an open ocean in the framework of the linear surface wave theory (the function is often referred to as…
Freely floating structures trapping time-harmonic water waves (revisited)
Nikolay Kuznetsov, Oleg Motygin
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 surfa…