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 |
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Keywords
- Caractéristiques
- Echangeur thermique
- Régularisation
- Stabilité exponentielle
- Système hyperbolique symétrique à coefficients discontinus
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Sur la stabilité exponentielle des systèmes hyperboliques du premier ordre à coefficients l∞ : Application aux échangeurs thermiques couplés. / Chentouf, Boumediène; Xu, Cheng Zhong; Sallet, Gauthier.
In: Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 10, No. 1, 01.2003, p. 23-41.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Sur la stabilité exponentielle des systèmes hyperboliques du premier ordre à coefficients l∞
T2 - Application aux échangeurs thermiques couplés
AU - Chentouf, Boumediène
AU - Xu, Cheng Zhong
AU - Sallet, Gauthier
PY - 2003/1
Y1 - 2003/1
N2 - 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.
AB - 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.
KW - Caractéristiques
KW - Echangeur thermique
KW - Régularisation
KW - Stabilité exponentielle
KW - Système hyperbolique symétrique à coefficients discontinus
UR - http://www.scopus.com/inward/record.url?scp=0038053173&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0038053173&partnerID=8YFLogxK
M3 - Article
VL - 10
SP - 23
EP - 41
JO - Bulletin of the Belgian Mathematical Society - Simon Stevin
JF - Bulletin of the Belgian Mathematical Society - Simon Stevin
SN - 1370-1444
IS - 1
ER -