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zeghib--abdelghani
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Geometry of Affine and Autonomous Dynamical Systems and Group Actions
, Ph.D. Dissertation Sharif University of Technology ; Fanai, Hamid Reza (Supervisor) ; Zeghib, Abdelghani (Supervisor)
Abstract
This thesis summary focuses on the study of autonomous dynamical systems proposed by A. Zeghib. The research revolves around compact smooth manifolds endowed with a parallelization F of their tangent bundle, along with a diffeomorphism of the manifold that possesses a constant derivative cocycle with respect to F. Additionally, the concept of autonomous G-action on the manifold is also introduced, where an action is considered autonomous to mean that any element of it is autonomous. The first part of the study concentrates on autonomous dynamics on compact 2-manifolds, aiming to classify all autonomous diffeomorphisms on such manifolds. Interestingly, the classification approach presented in...
Transport of small polar molecules across nonporous polymeric membranes: II. Shortcomings of phenomenological models of membrane transport
, Article Journal of Membrane Science ; Volume 211, Issue 2 , 2003 , Pages 215-234 ; 03767388 (ISSN) ; Farhadpour, F. A ; Soltanieh, M ; Abdelghani, M ; Sharif University of Technology
2003
Abstract
A molecule within the nonporous polymeric membrane moves in response to the local driving force and has no memory of how it entered the membrane or how the local gradients were generated. This means that a properly formulated model of transport within the membrane should be equally applicable to dialysis, pervaporation or vapour permeation. The phenomenological approach of irreversible thermodynamics was used to develop transient models of dialysis and pervaporation. The model developed in this study were validated against transient dialysis and pervaporation data for ethanol-water/silicone rubber system. A critical assessment was obtained by recovering the model parameters from the dialysis...