On the Motion of incompressible inhomogeneous Euler-Korteweg fluids

Abstract

We study a system of equations governing evolution of incompressible inhomogeneous Euler-Korteweg fluids that describe a class of incompressible elastic materials. A local well-posedness theory is developed on a bounded smooth domain with no-slip boundary condition on velocity and vanishing gradient of density.

Keywords

• incompressible fluids
• inhomogeneous fluids
• Euler-Korteweg fluids