"1"^^ . . . . "2"^^ . . . . . "RIV/00216208:11320/14:10289965!RIV15-MSM-11320___" . . "Grasselli, Maurizio" . . . "We analyze a diffuse interface model describing the behavior of a mixture of two incompressible fluids. More precisely, we consider Navier-Stokes type equations with power-law like shear dependent viscosity. Such equations are nonlinearly coupled with a convective Cahn-Hilliard equation for the order parameter. The resulting system is endowed with no-slip and no-flux boundary conditions. We prove some regularity properties of weak solutions under rather general conditions. This is a generalization of previous results already proven for single fluids. Some consequences of such results are also addressed." . "Pra\u017E\u00E1k, Dalibor" . "000340056600003" . . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "0232-2064" . "We analyze a diffuse interface model describing the behavior of a mixture of two incompressible fluids. More precisely, we consider Navier-Stokes type equations with power-law like shear dependent viscosity. Such equations are nonlinearly coupled with a convective Cahn-Hilliard equation for the order parameter. The resulting system is endowed with no-slip and no-flux boundary conditions. We prove some regularity properties of weak solutions under rather general conditions. This is a generalization of previous results already proven for single fluids. Some consequences of such results are also addressed."@en . "33" . "http://dx.doi.org/10.4171/ZAA/1511" . "I" . "3" . "11320" . . . "18"^^ . "Zeitschrift f\u00FCr Analysis und ihre Anwendung" . "[75D5973C18C7]" . . "41915" . "Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity" . . "Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity" . "10.4171/ZAA/1511" . . "regularity of solutions; Cahn-Hilliard equations; diffuse interfaces; binary mixtures; shear dependent viscosity; Incompressible viscous fluids"@en . "Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity"@en . "Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity"@en . "RIV/00216208:11320/14:10289965" . .