Existence and Stability of Solutions for Steady Flows of Fibre Suspension Flows

• Published in: Journal of mathematical fluid mechanics Vol. 15; no. 1; pp. 197 - 214
• Main Author: Munganga, J. M. W.
• Format: Journal Article
• Language: English
• Published: Basel SP Birkhäuser Verlag Basel 01.03.2013
• Subjects: Classical and Continuum Physics; Fluid- and Aerodynamics; Mathematical Methods in Physics; Physics; Physics and Astronomy; Fibre suspension flows; 35Q35; 76A05; 76D03; existence; steady flow; stability

We establish existence, uniqueness, convergence and stability of solutions to the equations of steady flows of fibre suspension flows. The existence of a unique steady solution is proven by using an iterative scheme. One of the restrictions imposed on the data confirms a well known fact proven in Ga...