%0 Journal Article %T On the Navier-Stokes equations with temperature-dependent transport coefficients %A Eduard Feireisl %A Josef M¨¢lek %J International Journal of Differential Equations %D 2006 %I Hindawi Publishing Corporation %R 10.1155/denm/2006/90616 %X We establish long-time and large-data existence of a weak solution to the problem describing three-dimensional unsteady flows of an incompressible fluid, where the viscosity and heat-conductivity coefficients vary with the temperature. The approach reposes on considering the equation for the total energy rather than the equation for the temperature. We consider the spatially periodic problem. %U http://www.hindawi.com/journals/ijde/2006/090616/abs/