Quantitative Propagation of Chaos in a Bimolecular Chemical Reaction-Diffusion Model

DOI10.1137/19M1287687zbMath1439.60094arXiv1906.01051MaRDI QIDQ5110284

James Nolen, Tau Shean Lim, Yulong Lu

Publication date: 18 May 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01051

zbMATH Keywords

reaction-diffusion systemlarge deviationsinteracting particle systemspropagation of chaoshydrodynamics limit

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Reaction-diffusion equations (35K57) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Markov and semi-Markov decision processes (90C40)

Related Items (14)

Mean-field selective optimal control via transient leadership ⋮ Mean-Field Sparse Optimal Control of Systems with Additive White Noise ⋮ Mean field limit and quantitative estimates with singular attractive kernels ⋮ Fluctuation analysis for particle-based stochastic reaction-diffusion models ⋮ Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions ⋮ A spatial measure-valued model for chemical reaction networks in heterogeneous systems ⋮ A spatial measure-valued model for radiation-induced DNA damage kinetics and repair under protracted irradiation condition ⋮ PDE-constrained models with neural network terms: optimization and global convergence ⋮ Mean-field Analysis of Multipopulation Dynamics with Label Switching ⋮ A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games ⋮ Propagation of chaos in the nonlocal adhesion models for two cancer cell phenotypes ⋮ Conditional propagation of chaos in a spatial stochastic epidemic model with common noise ⋮ How Reaction-Diffusion PDEs Approximate the Large-Population Limit of Stochastic Particle Models ⋮ Mean Field Limits of Particle-Based Stochastic Reaction-Diffusion Models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mean field limit and propagation of chaos for Vlasov systems with bounded forces
• A comparison of bimolecular reaction models for stochastic reaction-diffusion systems
• Propagation of chaos for the 2D viscous vortex model
• Moment inequalities for sums of dependent random variables under projective conditions
• Semigroups of linear operators and applications to partial differential equations
• High density limit theorems for nonlinear chemical reactions with diffusion
• Reaction-diffusion equations for interacting particle systems
• A stochastic model of a chemical reaction with diffusion
• Law of large numbers and central limit theorem for linear chemical reactions with diffusion
• On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
• Particle systems and reaction-diffusion equations
• Uniform convergence of proliferating particles to the FKPP equation
• Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
• Mean field limit for Coulomb-type flows
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• On Kac's chaos and related problems
• Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity. Based on the presentations at the summer school, Enschede, the Netherlands, 2012
• Particle approximation of Vlasov equations with singular forces: Propagation of chaos
• Methode de laplace: etude variationnelle des fluctuations de diffusions de type
• Voter Model Perturbations and Reaction Diffusion Equations
• Leader formation with mean-field birth and death models
• Stochastic Analysis of Biochemical Systems
• A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
• Quantum Information Theory
• Optimal Transport

This page was built for publication: Quantitative Propagation of Chaos in a Bimolecular Chemical Reaction-Diffusion Model