The paper aims to estimate the thickness of the boundary layer for the planar MHD system with vanishing shear viscosity μ. Under some conditions on the initial and boundary data, we show that the thickness is of the ...The paper aims to estimate the thickness of the boundary layer for the planar MHD system with vanishing shear viscosity μ. Under some conditions on the initial and boundary data, we show that the thickness is of the order √μ｜lnμ｜. Note that this estimate holds also for the Navier-Stokes system so that it extends the previous works even without the magnetic effect.展开更多
基金supported in part by NNSFC(11271381 and 11431015)supported in part by the Joint NSFC-RGC Research Fund,N-CityU 102/12+1 种基金supported in part by the Program for Liaoning Excellent Talents in University(LJQ2013124)the Fundamental Research Fund for the Central Universities
文摘The paper aims to estimate the thickness of the boundary layer for the planar MHD system with vanishing shear viscosity μ. Under some conditions on the initial and boundary data, we show that the thickness is of the order √μ｜lnμ｜. Note that this estimate holds also for the Navier-Stokes system so that it extends the previous works even without the magnetic effect.
