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Author Donatelli, Donatella
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-07-24
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Analysis of PDEs ♦ 76D03 ♦ 76D05 ♦ 35Q30 ♦ 35B35 ♦ 35Q35 ♦ math
Abstract This paper deals with the approximation of the weak solutions of the incompressible Navier Stokes Fourier system. In particular it extends the artificial compressibility method for the Leray weak solutions of the Navier Stokes equation, used by Temam, in the case of a bounded domain and later in the case of the whole space. By exploiting the wave equation structure of the pressure of the approximating system the convergence of the approximating sequences is achieved by means of dispersive estimate of Strichartz type. It will be proved that the projection of the approximating velocity fields on the divergence free vectors is relatively compact and converges to a weak solution of the incompressible Navier Stokes Fourier system.
Educational Use Research
Learning Resource Type Article


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