SLOW RESONANT MHD WAVES IN ONE-DIMENSIONAL MAGNETIC PLASMAS WITH ANISOTROPIC VISCOSITY AND THERMAL-CONDUCTIVITY

Slow resonant MHD waves are studied in a compressible plasma with stro ngly anisotropic viscosity and thermal conductivity. It is shown that anisotropic viscosity and/or thermal conductivity removes the slow sin gularity which is present in the linear ideal MHD equations. Simple an alytical solutions to the linear dissipative MHD equations are obtaine d which are valid in the dissipative layer and in two overlap regions to the left and the right of the dissipative layer. Asymptotic analysi s of the dissipative solutions enables us to obtain connection formula e specifying the variations or jumps of the different wave quantities across the dissipative layer. These connection formulae coincide with those obtained previously for plasmas with isotropic viscosity and fin ite electrical conductivity. The thickness of the dissipative layer is inversely proportional to the Reynolds number, in contrast to the cas e of isotropic dissipative coefficients, where it is inversely proport ional to the cube root of the Reynolds number. The behavior of the per turbations in the dissipative layer is described in terms of elementar y functions of complex argument.