Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Asymptotic behavior and strong convergence for hyperbolic systems of conservation laws with damping

Authors: Corrado Lattanzio and Bruno Rubino
Journal: Quart. Appl. Math. 62 (2004), 529-540
MSC: Primary 35L65; Secondary 35B40, 35L40, 76N99, 76S05
DOI: https://doi.org/10.1090/qam/2086044
MathSciNet review: MR2086044
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Abstract | References | Similar Articles | Additional Information

Abstract: A local type estimate will be proved here for general $ 2 \times 2$ hyperbolic systems of conservation laws with strong dissipative term. Following the idea of [15], this result will be achieved by using as a preliminary step the convergence in the mean, which is an immediate consequence of the result of [11] obtained by using the compensated compactness theory.

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DOI: https://doi.org/10.1090/qam/2086044
Article copyright: © Copyright 2004 American Mathematical Society

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