9 citations · 24 across the 9 of their papers we have counts for
4 papers · 1 filter
Energy transport in the Schrödinger plate
Serge N. Gavrilov, Anton M. Krivtsov, Ekaterina V. Shishkina
In this paper, we introduce "the Schrödinger plate." This is an infinite two-dimensional linear micro-polar elastic medium, with out-of-plane degrees of freedom, lying on a linear…
Universal formal asymptotics for localized oscillation of a discrete mass-spring-damper system of time-varying properties, embedded into a one-dimensional medium described by the telegraph equation with variable coefficients
Serge N. Gavrilov, Ilya O. Poroshin, Ekaterina V. Shishkina +1
We consider a quite general problem concerning a linear free oscillation of a discrete mass-spring-damper system. This discrete sub-system is embedded into a one-dimensional contin…
The anti-localization of non-stationary linear waves and its relation to the localization. The simplest illustrative problem
Ekaterina V. Shishkina, Serge N. Gavrilov, Yulia A. Mochalova
We introduce a new wave phenomenon, which can be observed in continuum and discrete systems, where a trapped mode exists under certain conditions, namely, the anti-localization of…
Non-stationary oscillation of a string on the Winkler foundation subjected to a discrete mass-spring system non-uniformly moving at a sub-critical speed
Serge N. Gavrilov, Ekaterina V. Shishkina, Ilya O. Poroshin
We consider non-stationary free and forced transverse oscillation of an infinite taut string on the Winkler foundation subjected to a discrete mass-spring system non-uniformly movi…