7. Stochastic FSI: A Reduced Model

This chapter delves into the study of stochastic fluid-structure interaction (FSI) through a reduced model, focusing on the stochastic viscous wave equation. The text begins by introducing the concept of stochastic FSI and the challenges posed by fully coupled deterministic models. It then presents a reduced model that simplifies the analysis by considering a single self-contained equation for structure displacement. The chapter explores the mathematical tools used to analyze this equation, including explicit fundamental solutions and well-posedness results. It also discusses the regularity of sample paths of solutions and the implications of the reduced model for understanding stochastic FSI. The text concludes with a summary of the key findings and their significance for real-world applications.