Asymptotic Modelling of Fluid Flow Phenomena

The book explores the application of stochastic structures to model fluctuations in incompressible systems, particularly focusing on large eddy behaviors. It discusses the derivation of Reynolds stresses through a Monte-Carlo process linked to random equations that represent these fluctuations. The authors build on previous work with Guiraud and Zeytounian, aiming to provide insights into homogenization and localization processes. While the mathematical rigor of the approach remains uncertain, the authors hope it will inspire future research in the field of complex turbulent flows.