This book explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stochastics and their role in mathematical analysis and numerical simulation of different types of flows. Chapters are based on lectures given at the summer school Stochastics in Fluids, held in Prague in August 2023. With its accessible and flexible presentation, readers will be motivated to deepen their understanding of how mathematics and physics are connected. Specific topics covered include:

• Stochastic Lagrangian theory of zonal flows
• Stochastic models in turbulence
• Turbulent flows and stochastic modeling
• Small noise inviscid limit
  This book appeals to graduate students and researchers in both mathematics and physics.

Explores advances in fluid mechanics, focusing on the role of stochastics in the analysis and simulation of flows Motivates readers to better understand the connection between mathematics and physics Contains chapters based on lectures given at the summer school Stochastics in Fluids, held in Prague in August 2023

Inhalt

Stochastic modelling of small turbulent scales.- Invariant measures in the small noise inviscid limit.- Stochastic models in turbulence.- Turbulent flows: Lagrangian stochastic modelling.- Stochastic modeling of acceleration in the under-resolved turbulent flows; applications to two-phase flows.