Abstract
This paper studies a nonstrictly hyperbolic system of conservation laws in one space dimension which has been proposed in the literature as mathematically natural and as a model of magnetohydrodynamic (MHD) turbulence. It is shown that the associated Riemann problem possesses a one-parameter family of different solution operators, each of which corresponds to a different ratio of two dissipation parameters that in the MHD interpretation correspond to coefficients of fluid viscosity and electrical resistivity. (Because of a production error, this article has been updated.)
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