Global Solutions for a Simplified Shallow Elastic Fluids Model
Joint Authors
Lu, Yun-guang
Klingenberg, Christian
Zheng, De-Yin
Rendón, Leonardo
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-19
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The Cauchy problem for a simplified shallow elastic fluids model, one 3 × 3 system of Temple’s type, is studied and a global weak solution is obtained by using the compensated compactness theorem coupled with the total variation estimates on the first and third Riemann invariants, where the second Riemann invariant is singular near the zero layer depth ρ = 0 .
This work extends in some sense the previous works, (Serre, 1987) and (Leveque and Temple, 1985), which provided the global existence of weak solutions for 2 × 2 strictly hyperbolic system and (Heibig, 1994) for n × n strictly hyperbolic system with smooth Riemann invariants.
American Psychological Association (APA)
Lu, Yun-guang& Klingenberg, Christian& Rendón, Leonardo& Zheng, De-Yin. 2014. Global Solutions for a Simplified Shallow Elastic Fluids Model. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1034099
Modern Language Association (MLA)
Lu, Yun-guang…[et al.]. Global Solutions for a Simplified Shallow Elastic Fluids Model. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1034099
American Medical Association (AMA)
Lu, Yun-guang& Klingenberg, Christian& Rendón, Leonardo& Zheng, De-Yin. Global Solutions for a Simplified Shallow Elastic Fluids Model. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1034099
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034099