MHD turbulence at high Reynolds number

Scientific context Magnetic fields are important dynamically in a variety of situations in geophysics and astrophysics. Numerous observations are appearing, e.g. thanks to remote sensing and in particular to the CLUSTER ensemble of 4 satellites, allowing for an estimation of fields and of their derivatives in the Solar Wind close environment. In the magnetohydrodynamic (MHD) approximation valid for velocities small compared to the speed of light, the dynamical equations are quite close to the Navier-Stokes case for fluids (advection-diffusion), and thus MHD also represents a testing ground for ideas on turbulent flows in the incompressible case, in the presence of waves.