16 citations · 25 across the 4 of their papers we have counts for
4 papers
A new solving procedure for the Kelvin&Kirchhoff equations in case of falling a rotating torus
Sergey Ershkov, Dmytro Leshchenko, Ayrat Giniyatullin
We present in this communication a new solving procedure for Kelvin&Kirchhoff equations, considering the dynamics of falling the rigid rotating torus in an ideal incompressible flu…
Universal power law for the energy spectrum of breaking Riemann waves
Dmitry Pelinovsky, Efim Pelinovsky, Elena Kartashova +2
The universal power law for the spectrum of one-dimensional breaking Riemann waves is justified for the simple wave equation. The spectrum of spatial amplitudes at the breaking tim…
Finite-time singularities in the dynamical evolution of contact lines
D. E. Pelinovsky, A. R. Giniyatullin
We study finite-time singularities in the linear advection-diffusion equation with a variable speed on a semi-infinite line. The variable speed is determined by an additional condi…
Finite-amplitude wave propagation in a stratified fluid of variable depth
I. Didenkulova, T. Talipova, E. Pelinovsky +5
Variable-coefficient Korteweg - de Vries equation is applied to describe the interfacial wave transformation in two-layer fluid of variable depth. The soliton dynamics in this flui…