We consider a one dimensional transport equation with varying vector field and small viscosity coefficient, controlled by endpoint of the interval. give upper lower bounds on minimal time needed to control zero, uniformly in vanishing limit.

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