Limit theorems for a sequence of nonlinear reaction-diffusion systems

DOI10.1016/0304-4149(93)90069-GzbMath0773.60052MaRDI QIDQ2366181

Douglas Blount

Publication date: 29 June 1993

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

zbMATH Keywords

Skorokhod topologystochastic partial differential equationnonlinear reaction-diffusion systems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (5)

Limit theorems for multitype epidemics ⋮ Convection in a gravitational field ⋮ A MARKOV JUMP PROCESS APPROXIMATION OF THE STOCHASTIC BURGERS EQUATION ⋮ Fourier analysis applied to SPDEs ⋮ Diffusion limits for a nonlinear density dependent space-time population model

Cites Work

• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• High density limit theorems for nonlinear chemical reactions with diffusion
• 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
• Law of large numbers in the supremum norm for a chemical reaction with diffusion
• Fluctuations near homogeneous states of chemical reactions with diffusion
• Deterministic limit of the stochastic model of chemical reactions with diffusion
• Correlated Brownian Motions as an Approximation to Deterministic Mean-Field Dynamics

This page was built for publication: Limit theorems for a sequence of nonlinear reaction-diffusion systems