The kinetic limit of a system of coagulating planar Brownian particles
Alan Hammond, Fraydoun Rezakhanlou
Abstract
We study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order ε. We assume that the initial number of particles is of the order of $| ε|. Under suitable assumptions on the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation.
Create a lesson
Related papers
Sandpile avalanches in two dimensions are finite
Ahmed Bou-Rabee
Markov Chain Convergence in Kernel-Induced Geometry
Oleksii Kachaiev, Luc Brogat-Motte, Silvia Villa et al.
Interacting Stochastic Systems with Agent-Based Sampling and Connection-Based Reinforcement
Yogesh Dahiya, Gursharn Kaur, Neeraja Sahasrabudhe
Dimension-free Markov--Bernstein-type inequality for R2-valued polynomials
Egor Kosov
Initialization-Dependent Solution Selection by the Euler-Maruyama Scheme for a Degenerate SDE
Akihiro Tanaka
Statistical inference for rough Burgers-type stochastic partial differential equations
Simon Chony Acosta Christian Olivera Ciprian Tudor