22 citations · 33 across the 5 of their papers we have counts for
5 papers
Integral Representations for Interface Problems for the Barenblatt-Sobolev-Galpern Pseudoparabolic Equation
Andreas Chatziafratis, Sergey A. Rukolaine, Elias C. Aifantis
We obtain novel integral representations, expressed as contour integrals in the complex Fourier plane, for the solution of fully nonhomogeneous initial-boundary-value as well as in…
A mean-field model of intermittent particle transport and its quasi-steady-state approximation
Sergey A. Rukolaine
We propose a mean-field model of intermittent particle transport, where a particle may be in one of two phases: the first is an active (ballistic) phase, when a particle runs with…
Linear Boltzmann-like equation, describing non-classical particle transport, and related asymptotic solutions for small mean free paths
Sergey A. Rukolaine
In classical kinetic or kinetic-like models a particle free path distribution is exponensial, but this is more likely to be an exception than a rule. In this paper we derive a line…
Local immobilization of particles in mass transfer described by the equation of the Jeffreys type
Sergey A. Rukolaine, Alexander M. Samsonov
We consider the equation of the Jeffreys type as the basic one in three different models of mass transfer, namely, the Jeffreys type and two-phase models, and the approximati…
The delayed uncoupled continuous-time random walks do not provide a model for the telegraph equation
Sergey A. Rukolaine, Alexander M. Samsonov
It has been alleged in several papers that the so called delayed continuous-time random walks (DCTRWs) provide a model for the one-dimensional telegraph equation at microscopic lev…