F. Gazzola, A NOTE ON THE EVOLUTION NAVIER-STOKES EQUATIONS WITH A PRESSURE-DEPENDENT VISCOSITY, Zeitschrift fur angewandte Mathematik und Physik, 48(5), 1997, pp. 760-773
We consider Navier-Stokes equations with a pressure-dependent viscosit
y. Under suitable assumptions on the external force and on the initial
data, we prove that the Cauchy-Dirichlet problem for the evolution eq
uations admits a unique solution.