Fields covered include: controllability and accessibility properties of the Navier- Stokes and Euler systems, nonlinear dynamics of particle-like wavepackets, attractors of nonautonomous Navier-Stokes systems, large amplitude monophase nonlinear geometric optics, existence results for 3D Navier-Stokes equations and smoothness results for 2D Boussinesq equations, instability of incompressible Euler equations, increased stability in the Cauchy problem for elliptic equations. Contributors include: Andrey Agrachev (Italy-Russia) and Andrey Sarychev (Italy); Maxim Arnold (Russia); Anatoli Babin (USA) and Alexander Figotin (USA); Vladimir Chepyzhov (Russia) and Mark Vishik (Russia); Christophe Cheverry (France); Efim Dinaburg (Russia) and Yakov Sinai (USA-Russia); Francois Golse (France), Alex Mahalov (USA), and Basil Nicolaenko (USA); Victor Isakov (USA)