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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.