Foreword ...................................................... vii
T. Alazard
Some Recent Asymptotic Results in Fluid Mechanics .......... 1
D. Bresch, B. Desjardins and G. Metivier
Recent Mathematical Results and Open Problems about
Shallow Water Equations ................................... 15
C.-H. Bruneau
Direct Numerical Simulation and Analysis of 2D
Turbulent Flows ........................................... 33
C. Chalons and F. Coquel
Numerical Capture of Shock Solutions of Nonconservative
Hyperbolic Systems via Kinetic Functions .................. 45
V. Dolean and F. Nataf
Domain Decomposition Algorithms for the Compressible
Euler Equations ........................................... 69
R. Donat and P. Mulet
The Two-Jacobian Scheme for Systems of Conservation
Laws ...................................................... 89
M. Hillairet
Do Navier-Stokes Equations Enable to Predict Contact
Between Immersed Solid Particles? ........................ 109
A.E. Lovgren, Y. Maday and E.M. Ronquist
The Reduced Basis Element Method for Fluid Flows ......... 129
C.Mascia and F.Rousset
Asymptotic Stability of Steady-states for Saint-Venant
Equations with Real Viscosity ............................ 155
A. Rousseau, R. Temam and J. Tribbia
Numerical Simulations of the Inviscid Primitive
Equations in a Limited Domain ............................ 163
L. Saint-Raymond
Some Recent Results about the Sixth Problem of Hilbert ... 183
P. Secchi
On Compressible and Incompressible Vortex Sheets ......... 201
Y. Trakhinin
Existence and Stability of Compressible and
Incompressible Current-Vortex Sheets ..................... 229
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