THE MEAN-FIELD LIMIT FOR PARTICLE SYSTEMS WITH UNIFORM FULL-RANK CONSTRAINTS

. 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. This work generalises our previous results from [25] to the case of nonlinear constraints.