ON AN INVISCID MODEL FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH NONLOCAL INTERACTION

Ciprian G. Gal (1)

1 FIU - Florida International University [Miami]

We consider a diffuse interface model which describes the motion of an ideal incompressible mixture of two immiscible fluids with nonlocal interaction in two-dimensional bounded domains. This model consists of the Euler equation coupled with a convective nonlocal Cahn-Hilliard equation. We establish the existence of globally defined weak solutions as well as well-posedness results for strong/classical solutions.

Domaines: Equations aux dérivées partielles [math.AP]; Dynamique Chaotique [nlin.CD]

Ciprian G. Gal. ON AN INVISCID MODEL FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH NONLOCAL INTERACTION. 2015. ⟨hal-01225858⟩