On the IAA version of the Doi–Edwards model versus the K-BKZ rheological model for polymer fluids: A global existence result for shear flows with small initial data
Sorin Ciuperca, Ionel ; Heibig, Arnaud ; Palade, Liviu,
HAL, hal-01841273 / Harvested from HAL
Text on HAL
This paper establishes the existence of smooth solutions for the Doi-Edwards rheo-logical model of viscoelastic polymer fluids in shear flows. The problem turns out to be formally equivalent to a K-BKZ equation but with constitutive functions spanning beyond the usual mathematical framework. We prove, for small enough initial data, that the solution remains in the domain of hyperbolicity of the equation for all t ≥ 0.
Publié le : 2017-02-04
Classification:  evolutionary integro-differential equation,  convolution operator,  Doi-Edwards polymer model,  K-BKZ viscoelastic fluid,  shear flows,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-01841273,
     author = {Sorin Ciuperca, Ionel and Heibig, Arnaud and Palade, Liviu, },
     title = {On the IAA version of the Doi--Edwards model versus the K-BKZ rheological model for polymer fluids: A global existence result for shear flows with small initial data},
     journal = {HAL},
     volume = {2017},
     number = {0},
     year = {2017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01841273}
}

Sorin Ciuperca, Ionel; Heibig, Arnaud; Palade, Liviu, . On the IAA version of the Doi–Edwards model versus the K-BKZ rheological model for polymer fluids: A global existence result for shear flows with small initial data. HAL, Tome 2017 (2017) no. 0, . http://gdmltest.u-ga.fr/item/hal-01841273/