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CONVERGENCE OF A BGK APPROXIMATION OF THE ISENTROPIC EULER EQUATIONS

ALICE SEPE

Università degli Studi di Bari "Aldo Moro", Via E. Orabona 4, I-70125, Bari, Italy

Istituto per le Applicazioni del Calcolo "Mauro Picone", Consiglio Nazionale delle Ricerche, Via dei Taurini 19, I-00185, Roma, Italy

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https://doi.org/10.1142/S0219891611002433Cited by:2 (Source: Crossref)

Abstract

We consider a discrete kinetic approximation of the isentropic Euler equations, and establish the local convergence of the solutions of these relaxation systems to those of the hydrodynamic equations in the hyperbolic limit. We rely on modulated entropy methods and cover the time interval in which the latter admits smooth solutions.

Keywords:

AMSC: 35L65, 35L03, 76N15

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