On the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluids?

摘要

We study regularity properties of unsteady flows of an incompressible heat-conducting fluid in a two-dimensional spatially periodic setting. Under certain structural assumptions on the Cauchy stress that include generalizations of the Ladyzhenskaya or power-law like models we establish the existence of a classical solution to such problems.