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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Decay rates of strong planar rarefaction waves to scalar conservation laws with degenerate viscosity in several space dimensions
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by Jing Chen and Changjiang Zhu PDF
Trans. Amer. Math. Soc. 362 (2010), 1797-1830 Request permission

Abstract:

This paper is concerned with the decay rates of the solution to the strong planar rarefaction waves for scalar conservation laws with degenerate viscosity in several space dimensions. The analysis is based on the $L^2$-energy method and the decay property of rarefaction waves.
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Additional Information
  • Jing Chen
  • Affiliation: Department of Mathematics, Laboratory of Nonlinear Analysis, Central China Normal University, Wuhan 430079, People’s Republic of China
  • Changjiang Zhu
  • Affiliation: Department of Mathematics, Laboratory of Nonlinear Analysis, Central China Normal University, Wuhan 430079, People’s Republic of China
  • Email: cjzhu@mail.ccnu.edu.cn
  • Received by editor(s): July 28, 2005
  • Received by editor(s) in revised form: August 1, 2007
  • Published electronically: October 26, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 1797-1830
  • MSC (2000): Primary 35L65, 35K65, 35B40, 35B45
  • DOI: https://doi.org/10.1090/S0002-9947-09-04634-0
  • MathSciNet review: 2574878