# American Institute of Mathematical Sciences

June  2010, 3(2): 351-359. doi: 10.3934/dcdss.2010.3.351

## An alpha model for compressible fluids

 1 Dipartimento di Matematica, Facoltà di Ingegneria, Università di Brescia, Via Valotti, 9, 25133 Brescia

Received  January 2009 Revised  June 2009 Published  April 2010

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.
Citation: Paolo Secchi. An alpha model for compressible fluids. Discrete & Continuous Dynamical Systems - S, 2010, 3 (2) : 351-359. doi: 10.3934/dcdss.2010.3.351
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