Stochastics in Fluids

This volume presents state-of-the-art developments in theoretical and applied fluid mechanics. Chapters are based on lectures given at a workshop in the summer school "Stochastics in Fluids", held in Prague in August 2023. Readers will find a thorough analysis of current research topics, presented by leading experts in their respective fields. Specific topics covered include:

• Compressible Euler System
• Navier-Stokes equations
• Stochastic vortex methods
• Compressible primitive equations

Stochastics in Fluids will be a valuable resource for students interested in mathematical fluid mechanics.

Preface. - On wild solutions to the compressible Euler system. - Comparative study of 2D 2D FEM-FSI and 2D 1D reduced FD models for respiratory flow simulation. - Non-Newtonian compressible fluids with stochastic right hand side. - Weak-strong uniqueness for a compressible fluid-rigid body interaction problem with general inflow-outflow boundary data. - Calculation of pressure and forces in stochastic vortex methods. - On the steady motion of a Navier-Stokes flow across a sieve with prescribed pressure drop in a finite pipe. - On the derivation of the compressible Primitive Equations.