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math.PRFeb 20, 2014
authors
  • M. Winter
  • L. Xu
  • J. Zhai
  • T. Zhang
institutions
  • Brunel University of London
  • Macau University of Science and Technology
  • University of Macau
  • University of Manchester
  • University of Science and Technology of China
arXiv abstractPDF
paper

The dynamics of the stochastic shadow Gierer-Meinhardt System

arXiv:1402.4987

Abstract

We consider the dynamics of the stochastic shadow Gierer-Meinhardt system with one-dimensional standard Brownian motion. We establish the global existence and uniqueness of solutions. We also prove a large deviation result.

References in corpus (2)

  • Large deviation principles for the stochastic quasi-geostrophic equation
  • Large Deviations for SPDEs of Jump Type
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