论文标题
具有均匀全等级约束的粒子系统的平均场限制
The mean-field limit for particle systems with uniform full-rank constraints
论文作者
论文摘要
我们考虑一个粒子系统在宏观组件和单个颗粒之间均匀耦合的粒子系统。每个粒子的限制都是完整的，这意味着宏观成分的每个运动都会导致所有粒子的运动，反之亦然。骨骼肌组织具有相似的特性，可以激发这项工作。 我们证明了平均场PDE的平均场极限，拟合良好和稳定性估计的收敛性。
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.
