Stability and Numerical Analysis of the Hébraud‐Lequeux Model for Suspensions

Resumen

We study both analytically and numerically the stability of the solutions of the Hébraud‐Lequeux equation. This parabolic equation models the evolution for the probability of finding a stress σ in a mesoscopic block of a concentrated suspension, a non‐Newtonian fluid. We prove a new result concerning the stability of the fixed points of the equation, and pose some conjectures about stability, based on numerical evidence.