Some Recent Asymptotic Results in Fluid Mechanics -- Recent Mathematical Results and Open Problems about Shallow Water Equations -- Direct Numerical Simulation and Analysis of 2D Turbulent Flows -- Numerical Capture of Shock Solutions of Nonconservative Hyperbolic Systems via Kinetic Functions -- Domain Decomposition Algorithms for the Compressible Euler Equations -- The Two-Jacobian Scheme for Systems of Conservation Laws -- Do Navier-Stokes Equations Enable to Predict Contact Between Immersed Solid Particles? -- The Reduced Basis Element Method for Fluid Flows -- Asymptotic Stability of Steady-states for Saint-Venant Equations with Real Viscosity -- Numerical Simulations of the Inviscid Primitive Equations in a Limited Domain -- Some Recent Results about the Sixth Problem of Hilbert -- On Compressible and Incompressible Vortex Sheets -- Existence and Stability of Compressible and Incompressible Current-Vortex Sheets.