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in classical mathematical physicsNext ArticleOn the asymptotic decay of higher-order norms
of the solutions to the Navier-Stokes equations in R3
We consider a barotropic compressible generalization of the Lagrangian averaged Euler-alpha models, obtained by D.D. Holm in . The model extends to the compressible case the Euler-alpha closure equations for incompressible ideal fluids. The alpha model that we consider is a coupled parabolic-elliptic system; we show that it admits local strong solutions defined for small time.