Probabilistic approach of some discrete and continuous coagulation equations with diffusion.

DOI10.1016/S0304-4149(02)00122-9zbMath1075.60082OpenAlexW2037390998MaRDI QIDQ2574502

Nicolas Fournier, Madalina Deaconu

Publication date: 29 November 2005

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

Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00122-9

zbMATH Keywords

nonlinear stochastic differential equationsinteracting stochastic particle systemsnonspatially homogeneous coagulation equations

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items

Gelation of stochastic diffusion-coagulation systems, Weak solutions to the Cauchy problem for the diffusive discrete coagulation--fragmentation system., Brownian coagulation and a version of Smoluchowski's equation on the circle, On the growth of a particle coalescing in a Poisson distribution of obstacles, Branching processes for the fragmentation equation, A stochastic approach for simulating spatially inhomogeneous coagulation dynamics in the gelation regime, Fast Reaction Limit of the Discrete Diffusive Coagulation–Fragmentation Equation, Random multiple-fragmentation and flow of particles on a surface, PROPAGATION OF CHAOS IN A COAGULATION MODEL, On long time behavior of some coagulation processes., Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion, A stochastic approximation scheme and convergence theorem for particle interactions with perfectly reflecting boundary conditions, A note on Smoluchowski's equations with diffusion

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