Abstract
This paper deals with exponential stability for a large class of first order symmetric hyperbolic linear systems with L∞ space variable coefficients. By using the classical method of regularization and the method of characteristics, we prove that such systems are exponentially stable without any smoothness assumption on the coefficients. Since our motivation comes from a coupled heat exchangers system, we give an interesting application to this physical system met in chemical engineering.
| Original language | English |
|---|---|
| Pages (from-to) | 23-41 |
| Number of pages | 19 |
| Journal | Bulletin of the Belgian Mathematical Society - Simon Stevin |
| Volume | 10 |
| Issue number | 1 |
| Publication status | Published - Jan 2003 |
Keywords
- Caractéristiques
- Echangeur thermique
- Régularisation
- Stabilité exponentielle
- Système hyperbolique symétrique à coefficients discontinus
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Chentouf, B., Xu, C. Z., & Sallet, G. (2003). Sur la stabilité exponentielle des systèmes hyperboliques du premier ordre à coefficients l∞: Application aux échangeurs thermiques couplés. Bulletin of the Belgian Mathematical Society - Simon Stevin, 10(1), 23-41.