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arXiv · 2203.07249

The mean-field limit for particle systems with uniform full-rank constraints

Steffen Plunder·Bernd Simeon
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Abstract

We consider a particle system with uniform coupling between a macroscopic component and individual particles. The constraint for each particle is of full rank, which implies that each movement of the macroscopic component leads to a movement of all particles and vice versa. Skeletal muscle tissues share a similar property which motivates this work. We prove convergence of the mean-field limit, well-posedness and a stability estimate for the mean-field PDE.

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Steffen Plunder, Bernd Simeon. 2022-03-14. The mean-field limit for particle systems with uniform full-rank constraints. https://arxiv.org/abs/2203.07249

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