3 papers
math.AP2026
Traveling-Wave Solutions for an Einstein-Type Material-Balance Model of the Chemotactic Transport
Isanka Garli Hevage, Akif Ibragimov
We develop a nonlinear continuum transport model describing the formation of localized traveling structures in a coupled two-phase medium. The model is derived from an Einstein-typ…
math.AP2022
Einstein model of the movement of small particles in a stationary liquid revisited: Finite Propagation Speed
Isanka Garli Hevage, Akif Ibragimov, Zeev Sobol
The aforementioned celebrated model, though a breakthrough in Stochastic processes and a great step toward the construction of the Brownian motion leads to a paradox: infinite prop…
math.AP2022
An Iterative Energy Estimate for Degenerate Einstein model of Brownian motion
Isanka Garli Hevage, Akif Ibraguimov, Zeev Sobol
We consider the degenerate Einstein's Brownian motion model for the case when the time interval () of particle Jumps before collision (free jumps) reciprocal to the number of pa…