Coagulation, diffusion and the continuous Smoluchowski equation

DOI10.1016/j.spa.2009.04.001zbMath1170.76053arXiv0811.4601OpenAlexW2001874906MaRDI QIDQ841491

Alan Hammond, Mohammad Reza Yaghouti, Fraydoun Rezakhanlou

Publication date: 17 September 2009

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

Full work available at URL: https://arxiv.org/abs/0811.4601

zbMATH Keywords

scalingBrownian particlescorrelation boundkinetic limit

Mathematics Subject Classification ID

Diffusion (76R50) Brownian motion (60J65)

Related Items (7)

Spatial coagulation with bounded coagulation rate ⋮ Pointwise bounds for the solutions of the Smoluchowski equation with diffusion ⋮ Properties of the solutions of delocalised coagulation and inception problems with outflow boundaries ⋮ An analysis on the shear modulus of the modified Jeffreys model ⋮ Equilibrium fluctuations for a model of coagulating-fragmenting planar Brownian particles ⋮ On the growth of a particle coalescing in a Poisson distribution of obstacles ⋮ Convergence of Stochastic Particle Systems Undergoing Advection and Coagulation

Cites Work

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• Brownian coagulation
• Kinetic limit for a system of coagulating planar Brownian particles
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• The continuous coagulation-fragmentation equations with diffusion
• The kinetic limit of a system of coagulating Brownian particles
• Moment bounds for the Smoluchowski equation and their consequences
• Moment bounds for the solutions of the Smoluchowski equation with coagulation and fragmentation
• Smoluchowski's theory of coagulation in colloids holds rigorously in the Boltzmann-Grad-limit
• A Rigorous Derivation of Smoluchowski's Equation in the Moderate Limit

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