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Modélisation, analyse mathématique et simulations numériques de ...

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tel-00656013, version 1 - 3 Jan 2012<br />

0.1<br />

0.01<br />

0.001<br />

0.0001<br />

1 Density profile<br />

1e-05<br />

0 5 10 15 20<br />

t<br />

0.1<br />

0.01<br />

0.001<br />

0.0001<br />

1 Momentum profile<br />

1e-05<br />

0 5 10 15 20<br />

Figure 4.6: Influence of the relaxation param<strong>et</strong>er ε: evolution of E1 (left) and E2 (right) for<br />

ε = 0.5 (biggest slope of the envelop curve), 0.05 and 0.005 (smallest slope), and comparison<br />

with the Euler system (dashed black line).<br />

t

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