Vanishing Shear Viscosity and Boundary Layer for the Navier-Stokes Equations with Cylindrical Symmetry

Verfasser / Beitragende:
[Xulong Qin, Tong Yang, Zheng-an Yao, Wenshu Zhou]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 216/3(2015-06-01), 1049-1086
Format:
Artikel (online)
ID: 605515085
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024 7 0 |a 10.1007/s00205-014-0826-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00205-014-0826-x 
245 0 0 |a Vanishing Shear Viscosity and Boundary Layer for the Navier-Stokes Equations with Cylindrical Symmetry  |h [Elektronische Daten]  |c [Xulong Qin, Tong Yang, Zheng-an Yao, Wenshu Zhou] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
700 1 |a Qin  |D Xulong  |u Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China  |4 aut 
700 1 |a Yang  |D Tong  |u Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China  |4 aut 
700 1 |a Yao  |D Zheng-an  |u Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China  |4 aut 
700 1 |a Zhou  |D Wenshu  |u Department of Mathematics, Dalian Nationalities University, 116600, Dalian, China  |4 aut 
773 0 |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 216/3(2015-06-01), 1049-1086  |x 0003-9527  |q 216:3<1049  |1 2015  |2 216  |o 205 
856 4 0 |u https://doi.org/10.1007/s00205-014-0826-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00205-014-0826-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Qin  |D Xulong  |u Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yang  |D Tong  |u Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yao  |D Zheng-an  |u Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhou  |D Wenshu  |u Department of Mathematics, Dalian Nationalities University, 116600, Dalian, China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 216/3(2015-06-01), 1049-1086  |x 0003-9527  |q 216:3<1049  |1 2015  |2 216  |o 205