Detalle de: Non-Markovian Effects in Pattern Forming Chemical Systems

Active media are a suitable benchmark to study the constructive role of random fluctuations in pattern forming systems. The mathematical framework to model these pattern forming systems is by using Partial Differential Equations. Due to the presence of realistic noises in the experiments we have to deal with Non‐Markovian Stochastic Partial Differential Equations whose treatment is an unsolved problem in the theory of Stochastic Processes. A preliminary analytical approach to this topic is presented. Quantitative and qualitative agreement is found between theoretical and numerical results.