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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Invariants and asymptotic behavior of solutions of a conservation law
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by Tai Ping Liu PDF
Proc. Amer. Math. Soc. 71 (1978), 227-231 Request permission


We study the asymptotic behavior of solutions of the initial value problem for a conservation law ${u_t} + f{(u)_x} = 0$. It is assumed that the initial data agrees with the Riemann data for $|x|$ large. We show that the solution approaches that of the corresponding Riemann problem at algebraic rates.
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 71 (1978), 227-231
  • MSC: Primary 35L67
  • DOI:
  • MathSciNet review: 500495