Fluctuations Near Homogeneous States of Chemical Reactions with Diffusion.

Abstract

Conditions are given under which a space-time jump Markov process describing the stochastic model of nonlinear chemical reactions with diffusion converges to the homogeneous state solution of the corresponding reaction-diffusion equation. The deviation is measured by a central limit theorem. This limit is a distribution valued Ornstein-Uhlenbeck process and can be represented as the mild solution of a certain stochastic partial differential equation.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADA162875

Entities

People

  • Peter Kotelenez

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Chemical Reactions
  • Data Science
  • Differential Equations
  • Diffusion
  • Eigenvectors
  • Equations
  • Hilbert Space
  • Information Science
  • Markov Processes
  • Mathematical Models
  • Partial Differential Equations
  • Probability
  • Random Variables
  • Statistics
  • Stochastic Processes
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space