The mean-field limit for particle systems with uniform full-rank constraints
arxiv(2022)
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.
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关键词
Kinetic theory,mean-field limit,constrained particle system,algebraic-differential equations,muscle tissue dynamics
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