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• W2041288566 abstract "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 $O(sqrt{mu})$, 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." @default.
• W2041288566 created "2016-06-24" @default.
• W2041288566 creator A5032813285 @default.
• W2041288566 creator A5057048637 @default.
• W2041288566 date "2009-01-01" @default.
• W2041288566 modified "2023-09-26" @default.
• W2041288566 title "Boundary Layers for the Navier–Stokes Equations of Compressible Heat-Conducting Flows with Cylindrical Symmetry" @default.
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• W2041288566 doi "https://doi.org/10.1137/07070005x" @default.
• W2041288566 hasPublicationYear "2009" @default.
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