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| HAL: hal-00107009, version 1 |
| arXiv: math.PR/0610507 |
| Detailed view |  Export this paper |
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| Potential Analysis 11 (1999) n13, 289-302 |
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| Viscoelasticity and Lévy processes |
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| Nicolas Bouleau 1 |
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| (1999) |
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| We show that the linear viscoelastic materials, and more generally the physical phenomena to which Biot's relaxation theory is relevant, can be put in correspondance with the laws of processes with independent increments. In the one dimensional case this correspondence is one to one with subordinators and gives rise naturally to a conjugation relation on subordinators. |
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| 1: | Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique (CERMICS) |
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INRIA – Ecole des Ponts ParisTech |
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| Subject | : | Mathematics/Probability Engineering Sciences/Mechanics |
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| viscoelasticity – thermodynamics – rheology – Bernstein functions – Lévy processes – conjugation |
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| hal-00107009, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00107009 | |
| oai:hal.archives-ouvertes.fr:hal-00107009 | |
| From: Nicolas Bouleau | |
| Submitted on: Tuesday, 17 October 2006 09:52:07 | |
| Updated on: Tuesday, 17 October 2006 10:06:12 | |
