3 papers
math.AP2023
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…
math.DS2022
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…
math.AP2020
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…