A Rigorous Derivation of Smoluchowski's Equation in the Moderate Limit

DOI10.1081/SAP-120028026zbMath1053.60101arXivmath/0304107MaRDI QIDQ4450718

Christian Klingenberg, Stefan Grosskinsky, Karl Oelschläger

Publication date: 15 February 2004

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304107

zbMATH Keywords

particle systemSmoluchowski's equationcoagulation and shattering interactions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

The kinetic limit of a system of coagulating Brownian particles ⋮ Coagulation, diffusion and the continuous Smoluchowski equation ⋮ A Fokker-Planck approach to control collective motion ⋮ Brownian coagulation and a version of Smoluchowski's equation on the circle ⋮ Stochastic Modeling and Deterministic Limit of Catalytic Surface Processes ⋮ A stochastic approximation scheme and convergence theorem for particle interactions with perfectly reflecting boundary conditions

Cites Work

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• Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
• CONVERGENCE PROPERTIES OF A STOCHASTIC MODEL FOR COAGULATION-FRAGMENTATION PROCESSES WITH DIFFUSION
• Deterministic limit of the stochastic model of chemical reactions with diffusion
• Smoluchowski's theory of coagulation in colloids holds rigorously in the Boltzmann-Grad-limit
• The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems

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