Viscoelasticity and Lévy processes
Bouleau, Nicolas
HAL, hal-00107009 / Harvested from HAL
Text on HAL
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.
Publié le : 1999-07-05
Classification:  viscoelasticity,  thermodynamics,  rheology,  Bernstein functions,  Lévy processes,  conjugation,  MSC 73Fxx, 60J30, 47D07,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR],  [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] 
@article{hal-00107009,
     author = {Bouleau, Nicolas},
     title = {Viscoelasticity and L\'evy processes},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00107009}
}

Bouleau, Nicolas. Viscoelasticity and Lévy processes. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00107009/