Browsing by Author "Ibraguimov, Akif"
Now showing items 1-6 of 6
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Basis transform solution for Brinkman equation to describe unsteady hydrodynamic interactions
Liu, Bo; 0000-0002-7942-3502 (2021-05)This dissertation elucidates how inherently unsteady hydrodynamic interactions between two closely situated spheres in viscous liquid affect their time-dependent motion. The system represents two spherical Brownian particles ... -
Boundary optimal control problems with integral control constraints for fluid and solid mechanics
Pathmanathan, Sureka (2019-12)We discuss Dirichlet boundary optimal control problems for fluid or solid mechanics problems with incompressibility constraints. Such constraints impose integral compatibility conditions on full Dirichlet controls. Here, ... -
Concentration gradient generation across 256 cell culture array in microfluidic device and mathematical simulations
Somaweera, Himali Kumari; 0000-0001-7966-0535 (2015-05)Biomolecular gradients in biological systems have been implicated in tumor-cell invasion of metastatic cancer. The migration and differentiation of cancer cells based on the location of the primary and secondary tumors ... -
Dynamics of the light driven evolutionary models with chemotaxis
Nettle, Bobbie L.; 0000-0003-2825-2069 (2020-12)In the article we build a light-driven evolutionary model of Daphnia-Algae dynamic interaction. This interaction occurs through a reactive component and chemotaxis. The light-driven aspect of the process is modeled by ... -
A ONE-DIMENSIONAL MODEL CAPTURING SELECTIVE ION TRANSPORT
Temkin, Henryk; Liu, Shaorong; Ibraguimov, Akif; James, Darryl; Berg, Jordan; Hughes, Brice (American Society of Mechanical Engineers, 2007-11)This paper presents a numerical model of one-dimensional, steady-state, multi-species, ion transport along a channel of variable width and depth. It is intended for computationally efficient simulation of devices with large ... -
Random walk of Brownian motion in non-linear system
Islam, Rahnuma; 0000-0002-9420-5896 (2020-05)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-negative) polynomial of the dependent variable ...