On hyperbolic relaxation problems
This report summarizes our works on hyperbolic systems of first-order partial differential equations with source terms. We discuss the introduction of our structural stability and entropy dissipation conditions for initial or initial-boundary value problems. For initial value problems, several syste...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
2005
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| In: |
Analysis and Numerics for Conservation Laws
Year: 2005, Pages: 495-520 |
| DOI: | 10.1007/3-540-27907-5_22 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1007/3-540-27907-5_22 Verlag, Volltext: https://link.springer.com/chapter/10.1007%2F3-540-27907-5_22 
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| Author Notes: | Wen-An Yong, Willi Jäger |
| Summary: | This report summarizes our works on hyperbolic systems of first-order partial differential equations with source terms. We discuss the introduction of our structural stability and entropy dissipation conditions for initial or initial-boundary value problems. For initial value problems, several systematic results are reviewed. These include the non-existence of (linearly stable) relaxation approximations to non-strongly hyperbolic systems of equations, the justification of the formal zero relaxation limit, the existence of relaxation shock profiles, and the existence of global smooth solutions for balance laws. |
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| Item Description: | Gesehen am 21.08.2018 |
| Physical Description: | Online Resource |
| ISBN: | 9783540279075 |
| DOI: | 10.1007/3-540-27907-5_22 |