BOUNDARY LAYERS FOR THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE HEAT-CONDUCTING FLOWS WITH CYLINDRICAL SYMMETRY.

We consider the Navier-Stokes equations of viscous compressible heat-conducting flows with cylindrical symmetry. Our main purpose is to study the boundary layer effect and the convergence rate as the shear viscosity μ goes to zero. We show that the boundary layer thickness and a convergence rate are of the orders O(μα) with 0 < α < 1/2 and O(√μ), respectively, thus extending the result in [H. Frid and V. V. Shelukhin, Commun. Math. Phys., 208 (1999), pp. 309-330] to the case of nonisentropic flows. As a byproduct, we also improve the convergence result in [H. Frid and V. V. Shelukhin, SIAM J. Math. Anal., 31 (2000), pp. 1144-1156] on the vanishing shear viscosity limit. [ABSTRACT FROM AUTHOR]