Display Abstract

Title Random dynamics and robustness of stochastic reaction-diffusion systems

Name Yuncheng You
Country USA
Email you@mail.usf.edu
Co-Author(s) Yuncheng YOU
Submit Time 2014-03-31 23:00:53
Session
Special Session 22: Modeling and dynamic analysis of complex patterns in biological systems and data
Contents
For a class of the stochastic multi-component reaction-diffusion systems with additive colored noises, which serves as mathematical models of many chemical and biochemical autocatalytic reactions on 2D and 3D bounded domains with Dirichlet or Neumann boundary conditions, the longtime and asymptotic dynamics of the solutions are investigated. It is proved that for the cubic autocatalysis there exists a random attractor in the L^2 phase space and with the H^1 attracting regularity. Moreover, the robustness is shown that when the strength coefficients of additive noises tend to zero the random attractors converge to the deterministic global attractor in terms of Hausdorff distance.