TY - JOUR
T1 - Vanishing shear viscosity limit and boundary layer study for the planar MHD system
AU - Qin, Xulong
AU - Yang, Tong
AU - Yao, Zheng-an
AU - Zhou, Wenshu
PY - 2019/6/15
Y1 - 2019/6/15
N2 - We consider an initial boundary problem for the planar MHD system under the general condition on the heat conductivity coefficient that depends on both the temperature and the density. Firstly, the global existence of strong solution for large initial data is obtained, and then the limit of the vanishing shear viscosity is justified. In addition, the L2 convergence rate is obtained together with the estimation on the thickness of the boundary layer.
AB - We consider an initial boundary problem for the planar MHD system under the general condition on the heat conductivity coefficient that depends on both the temperature and the density. Firstly, the global existence of strong solution for large initial data is obtained, and then the limit of the vanishing shear viscosity is justified. In addition, the L2 convergence rate is obtained together with the estimation on the thickness of the boundary layer.
KW - boundary layer
KW - global existence
KW - MHD system
KW - vanishing shear viscosity
UR - http://www.scopus.com/inward/record.url?scp=85063588909&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85063588909&origin=recordpage
U2 - 10.1142/S0218202519500180
DO - 10.1142/S0218202519500180
M3 - RGC 21 - Publication in refereed journal
SN - 0218-2025
VL - 29
SP - 1139
EP - 1174
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 6
ER -