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

An alpha model for compressible fluids

Paolo Secchi 1,

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.
Keywords: Euler-alpha models, coupled parabolic-elliptic system., Compressible fluids.
Mathematics Subject Classification: Primary: 76N10; Secondary: 35Q35, 76F9.
Citation: Paolo Secchi. An alpha model for compressible fluids. Discrete and Continuous Dynamical Systems - S, 2010, 3 (2) : 351-359. doi: 10.3934/dcdss.2010.3.351
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