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Zbl 0891.35123
Di Lisio, R.; Grenier, E.; Pulvirenti, M.
On the regularization of the pressure field in compressible Euler equations.
(English)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 24, No.2, 227-238 (1997). ISSN 0391-173X

The aim of the present paper is to state the convergence, in Sobolev norm, of the solutions of a regularized version of the Euler equations for compressible flow to the corresponding solutions of the genuine system of Euler equations for a generic polytropic fluid.
[V.A.Sava (Iaşi)]
MSC 2000:
*35Q35 Other equations arising in fluid mechanics
35Q05 Euler-Poisson-Darboux equation and generalizations
76N10 Compressible fluids, general

Keywords: regularized Euler equations; Sobolev norms; mollifiers; regularization of the pressure field

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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