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- W2039995649 abstract "This paper studies the behavior of the magnetic field near the center of the reconnection layer in the framework of two-dimensional incompressible resistive magnetohydrodynamics with uniform resistivity in a steady state. Priest and Cowley [J. Plasma Phys. 14, 271 (1975)] have presented an argument showing that when the viscosity ν is zero, the magnetic separatrices do not cross at a finite angle but osculate at the X-point. In the present paper it is shown that this conclusion is in fact not correct. First, some results of numerical simulations of the reconnection layer are presented. These results contradict the conclusions of Priest and Cowley. To explain this contradiction, an analytical theory for the neighborhood of the X-point is developed. When viscosity ν is small, a narrow boundary layer develops near the neutral point. Some of the higher derivatives of the stream function Φ become very large near the X-point, leading to a nonzero angle between the separatrices. As ν→0, the boundary layer shrinks and nonanalytic logarithmic terms emerge in the expansion of Φ in the outer region. This makes the Taylor expansion of Priest and Cowley invalid in the case ν=0. The results of our boundary layer analysis are in good agreement with the numerical simulations." @default.
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- W2039995649 date "1998-09-01" @default.
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- W2039995649 title "On the viscous boundary layer near the center of the resistive reconnection region" @default.
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- W2039995649 doi "https://doi.org/10.1063/1.872992" @default.
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