Delta shock wave for a 3 × 3 hyperbolic system of conservation laws

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• 作者：Richard De la cruz ; Juan Galvis…
• 关键词：hyperbolic system of conservation laws ; temple class ; Riemann problem ; delta shock wave
• 刊名：Bulletin of the Brazilian Mathematical Society
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：47
• 期：1
• 页码：277-290
• 全文大小：264 KB
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• 作者单位：Richard De la cruz (1)
  Juan Galvis (2)
  Juan Carlos Juajibioy (3)
  Leonardo Rendón (2)
  
  1. Universidad Pedagógica y Tecnológica de Colombia, Tunja, Colombia
  2. Universidad Nacional de Colombia, Bogotá, Colombia
  3. Fundación Universidad Autónoma de Colombia, Bogotá, Colombia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Mathematical and Computational Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1678-7714

文摘

We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. The system is a simplification of a recently proposed system of five conservations laws by Bouchut and Boyaval that models viscoelastic fluids. An important issue is that the considered 3×3 system is such that every characteristic field is linearly degenerate. We study theRiemann problemfor this system and under suitable generalized Rankine-Hugoniot relation and entropy condition, both existence and uniqueness of particular delta shock type solutions are established.