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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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Young measures and an application of compensated compactness to one-dimensional nonlinear elastodynamics
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Trans. Amer. Math. Soc. 329 (1992), 377-413 Request permission

Abstract:

We study the existence problem for the equations of $1$-dimensional nonlinear elastodynamics. We obtain the convergence of ${L^p}(p < \infty )$ bounded approximating sequences generated by the method of vanishing viscosity and the Lax-Friedrichs scheme. The analysis uses Young measures, Lax entropies, and the method of compensated compactness.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 329 (1992), 377-413
  • MSC: Primary 35L60; Secondary 35A35, 73C50, 73D99
  • DOI: https://doi.org/10.1090/S0002-9947-1992-1049615-0
  • MathSciNet review: 1049615