Justifying Asymptotics for 3D Water–Waves, David Lannes -- Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients, Evgenii Panov -- Irreducible Chapman–Enskog Projections and Navier–Stokes Approximations, Evgenii Radkevich -- Exponential Mixing for Randomly Forced Partial Differential Equations: Method of Coupling, Armen Shirikyan -- On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid, Vsevolod Solonnikov -- Weak Spatially Nondecaying Solutions of 3D Navier–Stokes Equations in Cylindrical Domains, Sergey Zelik -- On Global in Time Properties of the Symmetric Compressible Barotropic Navier–Stokes-Poisson Flows in a Vacuum, Alexander Zlotnik .

Instability in Models Connected with Fluid Flows II presents chapters from world renowned specialists. The stability of mathematical models simulating physical processes is discussed in topics on control theory, first order linear and nonlinear equations, water waves, free boundary problems, large time asymptotics of solutions, stochastic equations, Euler equations, Navier-Stokes equations, and other PDEs of fluid mechanics. Fields covered include: the free surface Euler (or water-wave) equations, the Cauchy problem for transport equations, irreducible Chapman--Enskog projections and Navier-Stokes approximations, randomly forced PDEs, stability of equilibrium figures of uniformly rotating viscous incompressible liquid, Navier-Stokes equations in cylindrical domains, Navier-Stokes-Poisson flows in a vacuum. Contributors include: David Lannes (France); Evgenii Panov (Russia); Evgenii Radkevich (Russia); Armen Shirikyan (France); Vsevolod Solonnikov (Italy-Russia); Sergey Zelik (UK); Alexander Zlotnik (Russia)