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Part I: Preliminary results
Elements of functional analysis
Elements of stochastic analysis
Part II: Existence theory
Modeling fluid motion subject to random effects
Global existence
Local well-posedness
Relative energy inequality and weak–strong uniqueness
Part III: Applications
Stationary solutions
Singular limits
Stochastic Partial Differential Equations in Fluid Mechanics
Regularity Theory and Stochastic Flows for Parabolic ISPDES
Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts
Numerical Analysis of Compressible Fluid Flows
Recent Progress in the Theory of the Euler and Navier-Stokes Equations
Stochastic Calculus in Infinite Dimensions and SPDEs
Existence Theory for Generalized Newtonian Fluids
Introduction to Computational Stochastic PDEs
Measure-valued Processes and Stochastic Flows
Non-perturbative Methods in Statistical Descriptions of Turbulence
Mathematical Analysis of the Navier-Stokes Equations
Dynamics of Stochastic Systems