3 citations · 5 across the 9 of their papers we have counts for
9 papers
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,…
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…
Object classification in analytical chemistry via data-driven discovery of partial differential equations
J. L. Padgett, Y. Geldiyev, S. Gautam +3
Glycans are one of the most widely investigated biomolecules, due to their roles in numerous vital biological processes. This involvement makes it critical to understand their stru…
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…
Mixed Boundary Value Problems for non-Divergence Type Elliptic Equations in Unbounded Domain
Dat Cao, Akif Ibraguimov, Alexander I. Nazarov
We investigate the qualitative properties of solution to the Zaremba type problem in unbounded domain for the non-divergence elliptic equation with possible degeneration at infinit…
On Phragmén-Lindelöf principle for Non-divergence Type Elliptic Equation and Mixed Boundary conditions
Akif Ibraguimov, Alexander I. Nazarov
Paper dedicated to qualitative study of the solution of the Zaremba type problem in Lipschitz domain with respect to the elliptic equation in non-divergent form. Main result is Lan…