1 citations · 1 across the 7 of their papers we have counts for
7 papers
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 for localized traveling structures in a coupled two-phase medium. The model is derived from an Einstein-type material-balance formu…
Stability Analysis of Degenerate Einstein Model of Brownian Motion
Isanka Garli Hevage, Akif Ibraguimov, Zeev Sobol
Our Recent advancements in stochastic processes have illuminated a paradox associated with the Einstein model of Brownian motion. The model predicts an infinite propagation speed,…
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…
An Iterative Energy Estimate for Degenerate Einstein model of Brownian motion
Isanka Garli Hevage, Akif Ibraguimov, Zeev Sobol
We consider the degenerate Einsteins Brownian motion model when the time interval of the moving particles before the collisions, is reciprocal to the number of particles per unit v…
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…
The finite speed of propagation in the degenerate Einstein-Brownian motion model
Isanka Garli Hevage, Akif Ibraguimov
We considered the qualitative behavior of the generalization of Einstein's model of Brownian motion when the key parameter of the time interval of \textit{free jump} degenerates. F…
Nonlinear Einstein paradigm of Brownian motion and localization property of solutions
Ivan C. Christov, Isanka Garli Hevage, Akif Ibraguimov +1
We employ a generalization of Einstein's random walk paradigm for diffusion to derive a class of multidimensional degenerate nonlinear parabolic equations in non-divergence form. S…