Work

Asymptotic Behavior of Solutions for a Lattice System Generated by Non-Autonomous Complex Flows Modeling Concentrated Suspensions

Year: 2026

Type: article

Abstract: This paper studies the dynamics of concentrated suspensions under shear flow using a non-autonomous mode-coupling model. The model describes the evolution of the stress distribution in a material composed of mesoscopic blocks, incorporating stress relaxation and diffusion effects. We construct an approximating lattice dynamical system for the model under consideration and prove the existence of a compact uniform attractor for the family of semi-processes generated by solutions of the system.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-026-00404-x

Authors: Nataliia V. Gorban, Björn S. Rüffer

Institution: Bauhaus-Universität Weimar

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,490

Funder: Bauhaus-Universität Weimar