Generalized MHD equations

Generalized MHD equations

Solutions of the d-dimensional generalized MHD (GMHD) equations @tu þ u ru 1⁄4 rP þ b rb nð DÞu; @tb þ u rb 1⁄4 b ru Zð DÞb ( are studied in this paper. We pay special attention to the impact of the parameters n; Z; a and b on the regularity of solutions. Our investigation is divided into three major cases: (1) n40 and Z40; (2) n 1⁄4 0 and Z40; and (3) n 1⁄4 0 and Z 1⁄4 0:When n40 and Z40; the ...

Regularity Criteria for the Generalized MHD Equations

Hyperbolic Divergence Cleaningfor the MHD Equations

Hyperbolic Divergence Cleaning for the MHD Equations A. Dedner,∗ F. Kemm,† D. Kröner,∗ C.-D. Munz,† T. Schnitzer,∗ and M. Wesenberg∗ ∗Institut für Angewandte Mathematik, Universität Freiburg, Freiburg, Germany; and †Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Stuttgart, Germany E-mail: [email protected], [email protected], [email protected], d...

Structural Conditions for Full Mhd Equations

In this paper, we investigate the characteristic structure of the full equations of magnetohydrodynamics (MHD) and show that it satisfies the hypotheses of a general variable-multiplicity stability framework introduced by Métivier and Zumbrun, thereby extending to the general case various results obtained by Métivier and Zumbrun for the isentropic equations of MHD.

Galerkin discontinuous approximation of the MHD equations

In this report, we address several aspects of the approximation of the MHD equations by a Galerkin Discontinuous finite volume schemes. This work has been initiated during a CEMRACS project in July and August 2008 in Luminy. The project was entitled GADMHD (for GAlerkin Discontinuous approximation for the Magneto-Hydro-Dynamics). It has been supported by the INRIA CALVI project. 1 Some properti...