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An alpha model for compressible fluids

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  • We consider a barotropic compressible generalization of the Lagrangian averaged Euler-alpha models, obtained by D.D. Holm in [2]. 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.
    Mathematics Subject Classification: Primary: 76N10; Secondary: 35Q35, 76F99.


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