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Resonance for the isothermal system of isentropic gas dynamics

Author: Yun-guang Lu
Journal: Proc. Amer. Math. Soc. 139 (2011), 2821-2826
MSC (2010): Primary 35L65, 76N10
Published electronically: February 8, 2011
MathSciNet review: 2801623
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Abstract: In this paper, we remove the restriction $ z_{0}(x) \geq 0$ or $ w_{0}(x) \leq 0$ in the paper ``Existence of Solutions to Hyperbolic Conservation Laws with a Source'' (Commun. Math. Phys., 187 (1997), 327-340) and obtain the existence of solutions for the resonant, isothermal system of isentropic gas dynamics.

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Additional Information

Yun-guang Lu
Affiliation: Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, People’s Republic of China – and – Department of Mathematics, National University of Colombia, Bogota, Colombia

Keywords: Resonance, gas dynamics, global weak solution, $L^{\infty}$ estimate
Received by editor(s): April 6, 2010
Received by editor(s) in revised form: April 27, 2010, and July 26, 2010
Published electronically: February 8, 2011
Additional Notes: The author thanks the referee for many valuable suggestions.
Communicated by: Matthew J. Gursky
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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