Compressible Flow Modeling with the Lagrangian Averaged Navier-Stokes Equations

We have derived, in a mathematically precise way, Lagrangian-averaged models for incompressible and compressible flow. This work has now appeared in the SIAM Journal "Multiscale Modeling and Simulation;" Bhat, Fetecan, Marsden Mohseni, and West. That work lays important foundations for our computational work on the averaged equations as a computational tool for shocks.