CONVERGENCE PROPERTIES OF A STOCHASTIC MODEL FOR COAGULATION-FRAGMENTATION PROCESSES WITH DIFFUSION

DOI10.1081/SAP-100001188zbMath1015.60094MaRDI QIDQ2746368

Flavius Guiaş

Publication date: 8 July 2003

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

zbMATH Keywords

diffusionmartingale characterizationcoagulation-fragmentation process

Mathematics Subject Classification ID

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

Related Items

Gelation of stochastic diffusion-coagulation systems ⋮ Global existence for the discrete diffusive coagulation-fragmentation equations in \(L^1\). ⋮ Direct simulation of the infinitesimal dynamics of semi-discrete approximations for convection-diffusion-reaction problems ⋮ Subcritical, critical and supercritical size distributions in random coagulation-fragmentation processes ⋮ Improving the stochastic direct simulation method with applications to evolution partial differential equations ⋮ Properties of the solutions of delocalised coagulation and inception problems with outflow boundaries ⋮ Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion ⋮ A stochastic approach for simulating spatially inhomogeneous coagulation dynamics in the gelation regime ⋮ Stochastic Modeling and Deterministic Limit of Catalytic Surface Processes ⋮ Fast Reaction Limit of the Discrete Diffusive Coagulation–Fragmentation Equation ⋮ A Rigorous Derivation of Smoluchowski's Equation in the Moderate Limit ⋮ Random multiple-fragmentation and flow of particles on a surface ⋮ PROPAGATION OF CHAOS IN A COAGULATION MODEL

Cites Work

• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• Dual semigroups and second order linear elliptic boundary value problems
• Semigroups of linear operators and applications to partial differential equations
• Law of large numbers and central limit theorem for linear chemical reactions with diffusion
• Comparison of stochastic and deterministic models of a linear chemical reaction with diffusion
• Infinite-dimensional dynamical systems in mechanics and physics
• The Becker-Döring model with diffusion: II. Long time behavior
• Existence of gelling solutions for coagulation-fragmentation equations
• Coagulation model with partial diffusion
• Existence of solutions to coagulation-fragmentation systems with diffusion
• Deterministic limit of the stochastic model of chemical reactions with diffusion
• Fragmentation–diffusion model. Existence of solutions and their asymptotic behaviour
• A Monte Carlo approach to the Smoluchowski equations
• Approximative solution of the coagulation–fragmentation equation by stochastic particle systems
• A Direct Simulation Method for the Coagulation-Fragmentation. Equations with Multiplicative Coagulation Kernels