10 citations · 25 across the 14 of their papers we have counts for
17 papers
On the Spread of a Virus and Traveling Waves, Part I
Yizhou Wang, Akif Ibragimov
This paper develops a one-dimensional model for a mobile viral component propagating through a spatially distributed susceptible population. Random viral motion produces diffusion,…
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…
Linear non-divergence parabolic equations in non-cylindrical space-time sets
Luan Hoang, Akif Ibragimov
We study linear parabolic equations of the second order in non-divergence form in a general set which is non-cylindrical with respect to the spatial and time variables. The restric…
Models of Chemotactic System by Einstein's Brownian Motion Method and its Analysis
Rahnuma Islam, Akif Ibragimov
We study the movement of the living organism in a band form towards the presence of chemical substrates based on a system of partial differential evolution equations. We incorporat…
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…
Fundamentals in Peaceman Model for Well-Block radius For Non-Linear Flows Near Well
Akif Ibragimov, Ernest Zakirov, Ilya Indrupskiy +1
We consider sewing machinery between finite difference and analytical solutions defined at different scale: far away and near source of the perturbation of the flow. One of the ess…