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September 2009 On the formation of shocks to the compressible Euler equations
Dongho Chae, Seung-Yeal Ha
Commun. Math. Sci. 7(3): 627-634 (September 2009).

Abstract

We present an explicit upper-bound for the life-span of C3-smooth solutions to the multi-dimensional compressible Euler equations with a certain class of initial data containing compression vacuum states. We also show that the divergence of a fluid velocity will blow up along the particle trajectories issued from the compression vacuum states, which represent a shock formation at the vacuum states.

Citation

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Dongho Chae. Seung-Yeal Ha. "On the formation of shocks to the compressible Euler equations." Commun. Math. Sci. 7 (3) 627 - 634, September 2009.

Information

Published: September 2009
First available in Project Euclid: 26 October 2009

zbMATH: 1183.35225
MathSciNet: MR2569026

Subjects:
Primary: 35B30, 35Q35

Rights: Copyright © 2009 International Press of Boston

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Vol.7 • No. 3 • September 2009
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