Asymptotic Behavior of Global Entropy Solutions for Nonstrictly Hyperbolic Systems with Linear Damping

Richard Alexander De la Cruz Guerrero; Juan Carlos Juajibioy Otero; Leonardo Rendon

doi:10.1155/2014/383254

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Home > Journals > Int. J. Differ. Equ. > Volume 2014 > Article

2014 Asymptotic Behavior of Global Entropy Solutions for Nonstrictly Hyperbolic Systems with Linear Damping

Richard Alexander De la Cruz Guerrero, Juan Carlos Juajibioy Otero, Leonardo Rendon

Int. J. Differ. Equ. 2014: 1-5 (2014). DOI: 10.1155/2014/383254

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Abstract

We investigate the large time behavior of the global weak entropy solutions to the symmetric Keyfitz-Kranzer system with linear damping. It is proved that as $t\to \infty$ the entropy solutions tend to zero in the ${L}^{p}$ norm.

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Richard Alexander De la Cruz Guerrero. Juan Carlos Juajibioy Otero. Leonardo Rendon. "Asymptotic Behavior of Global Entropy Solutions for Nonstrictly Hyperbolic Systems with Linear Damping." Int. J. Differ. Equ. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/383254

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Received: 2 September 2014; Accepted: 2 November 2014; Published: 2014

First available in Project Euclid: 20 January 2017

zbMATH: 1311.35143

MathSciNet: MR3283428

Digital Object Identifier: 10.1155/2014/383254

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Richard Alexander De la Cruz Guerrero, Juan Carlos Juajibioy Otero, Leonardo Rendon "Asymptotic Behavior of Global Entropy Solutions for Nonstrictly Hyperbolic Systems with Linear Damping," International Journal of Differential Equations, Int. J. Differ. Equ. 2014(none), 1-5, (2014)

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