Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Large time decay of solutions to isentropic gas dynamics

Author: Naoki Tsuge
Journal: Quart. Appl. Math. 65 (2007), 135-143
MSC (2000): Primary 35L65, 35L60, 76J20
DOI: https://doi.org/10.1090/S0033-569X-06-01043-6
Published electronically: December 14, 2006
MathSciNet review: 2313152
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Abstract | References | Similar Articles | Additional Information

Abstract: We study the large time behavior of solutions to isentropic gas dynamics. For a constant $ \gamma$ $ (1<\gamma<3)$, we show the decay of the $ L^{\gamma}$ norm of density. To do this, we estimate approximate solutions constructed by a difference scheme.

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Additional Information

Naoki Tsuge
Affiliation: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Osaka 560-0043, Japan
Email: tuge@math.sci.osaka-u.ac.jp

DOI: https://doi.org/10.1090/S0033-569X-06-01043-6
Keywords: Isentropic gas dynamics, decay, the Lax-Friedrichs scheme.
Received by editor(s): March 30, 2006
Published electronically: December 14, 2006
Additional Notes: The author was supported in part by JSPS Research Fellowships for Young Scientists.
Article copyright: © Copyright 2006 Brown University

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