3 citations · 4 across the 4 of their papers we have counts for
4 papers
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's Brownian motion model for chemotactic system and traveling band
Rahnuma Islam, Akif Ibragimov
We study the movement of the living organism in a band form towards the presence of chemical substrate based on a system of partial differential evolution equations. We incorporate…
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…
Long-time asymptotics of non-degenerate non-linear diffusion equations
Ivan C. Christov, Akif Ibraguimov, Rahnuma Islam
We study the long-time asymptotics of prototypical non-linear diffusion equations. Specifically, we consider the case of a non-degenerate diffusivity function that is a (non-negati…