Mathematical analysis of a one-dimensional model for an aging fluid

David Benoit (1, 2) , Lingbing He (3) , Claude Le Bris (1, 2) , Tony Lelièvre (1, 2)

1 MICMAC - Methods and engineering of multiscale computing from atom to continuum
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
3 Department of Mathematical Sciences

We study mathematically a system of partial differential equations arising in the modelling of an aging fluid, a particular class of non Newtonian fluids. We prove well-posedness of the equations in appropriate functional spaces and investigate the longtime behaviour of the solutions.

Domaines: Equations aux dérivées partielles [math.AP]

David Benoit, Lingbing He, Claude Le Bris, Tony Lelièvre. Mathematical analysis of a one-dimensional model for an aging fluid. Mathematical Models and Methods in Applied Sciences, 2013, pp.1561-1602. ⟨10.1142/S0218202513500164⟩. ⟨hal-00676678⟩