具有一致满秩约束的粒子系统的平均场极限
The mean-field limit for particle systems with uniform full-rank constraints
摘要：
我们考虑一个粒子系统的宏观组件和单个粒子之间的均匀耦合。每个粒子的约束都是满秩的，这意味着宏观分量的每个运动都会导致所有粒子的运动，反之亦然。骨骼肌组织有一个类似的属性，这激发了这项工作。我们证明了平均场极限的收敛性，适定性和稳定性估计的平均场偏微分方程。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
