An alpha model for compressible fluids

Paolo Secchi

doi:10.3934/dcdss.2010.3.351

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2010, Volume 3, Issue 2: 351-359. Doi: 10.3934/dcdss.2010.3.351

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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: December 31, 2008

Revised: May 31, 2009

Published: May 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 76N10; Secondary: 35Q35, 76F99.

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