The talk will study the evolution of an ellipsoid particle in an
incompressible, Newtonian shear flow by considering the fluid slipping
at solid surface. A continuum hydrodynamic model is constructed, using
phase-field diffuse-interface modeling for fluid-solid interface. Fluid
slipping at solid particle surface is incorporated into the model by a
decrease in the shear viscosity in the interfacial region. Numerical
simulations will be given to show the effect of the fluid slipping on
the orientational motion of the ellipsoid particle.