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Proceedings of the American Mathematical Society

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



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 $ {u_t} + f{(u)_x} = 0$. It is assumed that the initial data agrees with the Riemann data for $ \vert x\vert$ large. We show that the solution approaches that of the corresponding Riemann problem at algebraic rates.

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Keywords: Conservation laws, entropy condition, shock inequalities, $ {L_1}$-invariants
Article copyright: © Copyright 1978 American Mathematical Society