Existence results for integral viscoelastic fluids

Laurent Chupin (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

We consider the flows of viscoelastic fluid which obey a constitutive law of integral type. The existence and uniqueness results for solutions of the initial boundary value problem are proved, and the stationary case is studied.

Domaines: Equations aux dérivées partielles [math.AP]

Laurent Chupin. Existence results for integral viscoelastic fluids. Journal of Mathematical Fluid Mechanics, 2013, 15 (4), pp.783-806. ⟨10.1007/s00021-013-0132-7⟩. ⟨hal-00643451v2⟩