Existencia de una solución débil entrópica para un sistema de tipo Keyfitz-Kranzer simétrico
Existence of Weak Entropy Solution for a Symmetric System of Keyfitz-Kranzer Type
Schlagworte:
Sistema de tipo Keyfitz-Kranzer, existencia, solución débil entrópica (es)System of Keyfitz-Kranzer type, Existence, Weak entropy solution (en)
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1Universidad Nacional de Colombia, Bogotá, Colombia. Email: jchernandezri@unal.edu.co
We consider the Cauchy problem for a 2\times2 symmetric system of Keyfitz-Kranzer type with bounded measurable initial data. The existence of a weak entropy solution to this system is proved by using classical viscosity, an estimate in L1(R) related to one of the Riemann invariants and the div-curl lemma, but avoiding the use of Young measures.
Key words: System of Keyfitz-Kranzer type, Existence, Weak entropy solution.
2000 Mathematics Subject Classification: 35D05, 35L65.
Consideramos el problema de Cauchy para un sistema 2\times2 de tipo Keyfitz-Kranzer simétrico con valor inicial acotado y medible. La existencia de una solución débil entrópica para este sistema es probada mediante el uso de viscosidad clásica, una L1(R) estimativa relacionada con uno de los invariantes de Riemann y el lema del divergente-rotacional, pero evitando el uso de medidas de Young.
Palabras clave: Sistema de tipo Keyfitz-Kranzer, existencia, solución débil entrópica.
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv47n1a02,
AUTHOR = {Hernández R., Juan Carlos},
TITLE = {{Existence of Weak Entropy Solution for a Symmetric System of Keyfitz-Kranzer Type}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2013},
volume = {47},
number = {1},
pages = {13--28}
}
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