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Vol. 8 No. 1 (2017)
Vol 8, Núm. 1 (2017): Enero- Junio

Artículos de investigación / Research papers

Global weak solutions for a 2 × 2 balance non-symmetric system of Keyfitz-Kranzer type / Soluciones débiles globales para un sistema 2x2 balanceado no simétrico de tipo Keyfitz-Kranzer

https://doi.org/10.19053/01217488.v8.n1.2017.4753

Published 2017-05-31

  • Juan Carlos Juajibioy Otero
    • ,
  • Richard Alexander De La Cruz Guerrero
    • ,
  • Leonardo Rendón Arbeláez

Juan Carlos Juajibioy Otero
Fundación Universidad Autónoma de Colombia

Richard Alexander De La Cruz Guerrero
Universidad Pedagógica y Tecnológica de Colombia

Leonardo Rendón Arbeláez
Universidad Nacional de Colombia

Abstract

In this paper we consider the Cauchy problem for a particular non-symmetric Keyfitz-Kranzer type system,
by using the vanishing viscosity method coupled with the compensated compactness method we get global
bounded entropy weak solutions. The main difficulty is to get uniformly bounded estimates on the viscosity
method.

Keywords

Weak solutions, compensated compactness

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References

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