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Systematic analysis of the multivariate master equation for a reaction- diffusion system

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Publication:759910
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DOI10.1007/BF01012869zbMath0554.35059MaRDI QIDQ759910

Gregoire Nicolis, M. Malek Mansour

Publication date: 1980

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

random walkreaction-diffusion equationsmaster equationsingular perturbation analysis


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)


Related Items (5)

On the stochastic theory of a bistable chemical reaction ⋮ Asymptotic properties of Markovian master equations ⋮ Dynamics of the Schlögl models on lattices of low spatial dimension ⋮ Asymptotic properties of coupled nonlinear Langevin equations in the limit of weak noise. I: Cusp bifurcation ⋮ Stochastic analysis of symmetry-breaking bifurcations: Master equation approach




Cites Work

  • Strong approximation theorems for density dependent Markov chains
  • The Poisson representation. I: A new technique for chemical master equations




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