Some recent asymptotic results in fluid mechanics / T. Alazard -- Recent mathematical results and open problems about shallow water equations / D. Bresch, B. Desjardins and G. Métivier -- Direct numerical simulation and analysis of 2D turbulent flows / C.-H. Bruneau -- Numerical capture of shock solutions of nonconservative hyperbolic systems via kinetic functions / C. Chalons and F. Coquel -- Domain decomposition algorithms for the compressible Euler equations / V. Dolean and F. Nataf -- The Two-Jacobian scheme for systems of conservation laws / R. Donat and P. Mulet -- Do Navier-Stokes equations enable to predict contact between immersed solid particles? / M. Hillairet -- The reduced basis element method for fluid flows / A.E. Løvgren, Y. Maday and E.M. Rønquist -- Asymptotic stability of steady-states for Saint-Venant equations with real viscosity / C. Mascia and F. Rousset -- Numerical simulations of the inviscid primitive equations / A. Rousseau, R. Temam and J. Tribbia -- Some recent results about the sixth problem of Hilbert / L. Saint-Raymond -- On compressible and incompressible vortex sheets / P. Secchi -- Existence and stability of compressible and incompressible current-vortex sheets / Y. Trakhinin
Summary
Presents a collection of the contributions of a Conference held in June 2005 at the laboratoire Paul Painleve (UMR CNRS 8524) in Lille, France. The aim of this conference was to review the topics and trends in fluid dynamics, with the objective to foster exchanges of various viewpoints on the addressed questions
