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Existence and Properties of Semidiscrete Shock Profiles for the Isentropic Gas Dynamic System with γ=3

Alexis Vasseur
SIAM Journal on Numerical Analysis
Vol. 38, No. 6 (2001), pp. 1886-1901
Stable URL: http://www.jstor.org/stable/3061972
Page Count: 16
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Existence and Properties of Semidiscrete Shock Profiles for the Isentropic Gas Dynamic System with γ=3
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Abstract

We consider a semidiscrete kinetic scheme for the isentropic gas dynamic system with γ=3 which corresponds exactly to the "transport-collapse method" of Brenier. We show the existence of shock profiles for every admissible limit values. In addition we give properties of such profiles.

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