Hoefer, Richard M. and Mecherbet, Amina and Schubert, Richard (2024) Non-existence of Mean-Field Models for Particle Orientations in Suspensions. JOURNAL OF NONLINEAR SCIENCE, 34 (1): 3. ISSN 0938-8974, 1432-1467
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We consider a suspension of spherical inertialess particles in a Stokes flow on the torus T-3. The particles perturb a linear extensional flow due to their rigidity constraint. Due to the singular nature of this perturbation, no mean-field limit for the behavior of the particle orientation can be valid. This contrasts with widely used models in the literature such as the FENE and Doimodels and similarmodels for active suspensions. The proof of this result is based on the study of the mobility problem of a single particle in a non-cubic torus, which we prove to exhibit a nontrivial coupling between the angular velocity and a prescribed strain.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EINSTEINS EFFECTIVE VISCOSITY; NONLINEAR FOKKER-PLANCK; GLOBAL WELL-POSEDNESS; ROD-LIKE; POLYMERIC FLUID; DOI MODEL; SEDIMENTATION; SIMULATIONS; EXISTENCE; Mean-field limit; Doi model; oriented particles; suspensions |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Oct 2025 06:07 |
| Last Modified: | 29 Oct 2025 06:07 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64514 |
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