COMPENSATED COMPACTNESS PRINCIPLE AND SOLVABILITY OF GENERALIZED NAVIER-STOKES EQUATIONS

摘要

We prove a nonstationary variant of the hydrodynamic lemma on compensated compactness and, based on this result, establish the solvability of the generalized Navier-Stokes equations, including the electrorheological system, where the nonlinearity exponent is a measurable function of spatial and time variables.