Diffusion, fragmentation, and coagulation processes: Analytical and numerical results
نویسندگان
چکیده
منابع مشابه
Coagulation-fragmentation Processes
We study the well-posedness of coagulation-fragmentation models with diiusion for large systems of particles. The continuous and the discrete case are considered simultaneously. In the discrete situation we are concerned with a countable system of coupled reaction-diiusion equations, whereas the continuous case amounts to an uncountable system of such equations. These problems can be handled by...
متن کاملModelling Genetic Variations using Fragmentation-Coagulation Processes
We propose a novel class of Bayesian nonparametric models for sequential data called fragmentation-coagulation processes (FCPs). FCPs model a set of sequences using a partition-valued Markov process which evolves by splitting and merging clusters. An FCP is exchangeable, projective, stationary and reversible, and its equilibrium distributions are given by the Chinese restaurant process. As oppo...
متن کاملModelling Genetic Variations with Fragmentation-Coagulation Processes
We propose a novel class of Bayesian nonparametric models for sequential data called fragmentation-coagulation processes (FCPs). FCPs model a set of sequences using a partition-valued Markov process which evolves by splitting and merging clusters. An FCP is exchangeable, projective, stationary and reversible, and its equilibrium distributions are given by the Chinese restaurant process. As oppo...
متن کاملOn time dynamics of coagulation-fragmentation processes
We establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of groups at time t ≥ 0 are time homogeneous. Based on this, we provide a characterization of mean-field Gibbs coagulationfragmentation models, which extends the one derived by Hendriks et al. As a byproduct of our results, the class of solvable mode...
متن کاملDiscrete coagulation-fragmentation system with transport and diffusion
— We prove the existence of solutions to two infinite systems of equations obtained by adding a transport term to the classical discrete coagulation-fragmentation system and in a second case by adding transport and spacial diffusion. In both case, the particles have the same velocity as the fluid and in the second case the diffusion coefficients are equal. First a truncated system in size is so...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2005
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.72.031103