BOUNDARY LAYERS FOR THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE HEAT-CONDUCTING FLOWS WITH CYLINDRICAL SYMMETRY
- 数学科学－已发表论文 
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 mu goes to zero. We show that the boundary layer thickness and a convergence rate are of the orders O(mu(alpha)) with 0 < alpha < 1/2 and O(root mu), 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.