Nearly incompressible fluids. II - Magnetohydrodynamics, turbulence, and waves

Physics

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Magnetohydrodynamic Turbulence, Plasma Waves, Solar Wind, Three Dimensional Models, Two Dimensional Models, Incompressible Fluids, Interstellar Matter

Scientific paper

The theory of nearly incompressible (NI) fluid dynamics developed previously for hydrodynamics is extended to magnetohydrodynamics (MHD). Based on a singular expansion technique, modified systems of fluid equations are obtained for which the effects of compressibility are admitted only weakly in terms of the different possible incompressible solutions. NI MHD represents the interface between the compressible and incompressible magnetofluid descriptions in the subsonic regime. It is shown that three distinct NI descriptions exist corresponding to each of the three possible plasma beta regimes. The detailed theory of weakly compressible corrections to the various incompressible MHD descriptions is presented, and the implications for the solar wind are discussed.

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