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Title of Journal: Acta Math Appl Sin Engl Ser

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Abbravation: Acta Mathematicae Applicatae Sinica, English Series

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Springer Berlin Heidelberg

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DOI

10.1002/bbpc.18990061604

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ISSN

1618-3932

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Large time behavior of entropy solutions to some h

Authors: Huimin Yu
Publish Date: 2011/10/14
Volume: 29, Issue: 3, Pages: 509-516
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Abstract

In this paper the large time behavior of the global L ∞ entropy solutions to the hyperbolic system with dissipative structure is investigated It is proved that as t → ∞ the entropy solutions tend to a constant equilibrium state in L 2 norm with exponential decay even when the initial values are arbitrarily large As an illustration a class of 2 × 2 system is studied

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