Hyperbolic balance laws with relaxation

Constantine M. Dafermos

doi:10.3934/dcds.2016.36.4271

Article Contents

2016, Volume 36, Issue 8: 4271-4285. Doi: 10.3934/dcds.2016.36.4271

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Hyperbolic balance laws with relaxation

Constantine M. Dafermos^1,

1.
Division of Applied Mathematics, Brown University, Providence, RI 02912

Received: April 30, 2015

Revised: July 31, 2015

Published: May 2017

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Abstract

This expository paper surveys the progress in a research program aiming at establishing the existence and long time behavior of $BV$ solutions to the Cauchy problem for hyperbolic systems of balance laws modeling relaxation phenomena.

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Mathematics Subject Classification: Primary: 35L65, 35L67; Secondary: 35B40, 35Q31, 45K05, 74D10.

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References

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