caa a22 4500 605515085 CHVBK 20210128100707.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00205-014-0826-x doi (NATIONALLICENCE)springer-10.1007/s00205-014-0826-x Vanishing Shear Viscosity and Boundary Layer for the Navier-Stokes Equations with Cylindrical Symmetry [Elektronische Daten] [Xulong Qin, Tong Yang, Zheng-an Yao, Wenshu Zhou] Both the global well-posedness for large data and the vanishing shear viscosity limit with a boundary layer to the compressible Navier-Stokes system with cylindrical symmetry are studied under a general condition on the heat conductivity coefficient that, in particular, includes the constant coefficient. The thickness of the boundary layer is proved to be almost optimal. Moreover, the optimal L 1 convergence rate in terms of shear viscosity is obtained for the angular and axial velocity components. Springer-Verlag Berlin Heidelberg, 2014 Qin Xulong Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China aut Yang Tong Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China aut Yao Zheng-an Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China aut Zhou Wenshu Department of Mathematics, Dalian Nationalities University, 116600, Dalian, China aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/3(2015-06-01), 1049-1086 0003-9527 216:3<1049 2015 216 205 https://doi.org/10.1007/s00205-014-0826-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0826-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Qin Xulong Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China aut NATIONALLICENCE 700 1- Yang Tong Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China aut NATIONALLICENCE 700 1- Yao Zheng-an Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China aut NATIONALLICENCE 700 1- Zhou Wenshu Department of Mathematics, Dalian Nationalities University, 116600, Dalian, China aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/3(2015-06-01), 1049-1086 0003-9527 216:3<1049 2015 216 205