Invariants and asymptotic behavior of solutions of a conservation law

Author:
Tai Ping Liu

Journal:
Proc. Amer. Math. Soc. **71** (1978), 227-231

MSC:
Primary 35L67

MathSciNet review:
500495

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Abstract: We study the asymptotic behavior of solutions of the initial value problem for a conservation law . It is assumed that the initial data agrees with the Riemann data for large. We show that the solution approaches that of the corresponding Riemann problem at algebraic rates.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1978-0500495-7

Keywords:
Conservation laws,
entropy condition,
shock inequalities,
-invariants

Article copyright:
© Copyright 1978
American Mathematical Society