35 citations · 106 across the 4 of their papers we have counts for
4 papers
On a new type of solving procedure for Laplace tidal equation
Sergey V. Ershkov, Roman V. Shamin
In this paper, we present a new approach for solving Laplace tidal equations (LTE) which was formulated first in [S.V.Ershkov, A Riccati-type solution of Euler-Poisson equations of…
The dynamics of asteroid rotation, governed by YORP effect: the kinematic ansatz
Sergey V. Ershkov, Roman V. Shamin
The main motivation of this research is the analytical exploration of the dynamics of asteroid rotation when it moves in elliptic orbit through Space. According to the results of E…
A Riccati-type solution of 3D Euler equations for incompressible flow
Sergey V. Ershkov, Roman V. Shamin
In fluid mechanics, a lot of authors have been reporting analytical solutions of Euler and Navier-Stokes equations. But there is an essential deficiency of non-stationary solutions…
Reaction-diffusion equations with spatially distributed hysteresis
Pavel Gurevich, Roman Shamin, Sergey Tikhomirov
The paper deals with reaction-diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. In particular, such problems desc…