Partial Differential Equations in Fluid Mechanics

This book investigates Hydrodynamic models including the Navier-Stokes equations and magnetohydrodynamics system by means of stochastic partial differential equations. Related models of interest also include models from quantum field theory and stochastic Yang-Mills equation. The book proposes recent developments on mathematical analysis of these models on properties of solutions such as existence, uniqueness, and smoothness and also it poses currently open problems.