Summary
A nonlinear acceleration wave analysis is developed for a general magnetohydrodynamic theory studied by Roberts [6]. The sixth order wavespeed equation is solved exactly and then Roberts' linearized stability restriction on the free energy is confirmed from a nonlinear analysis.
Sommario
Un analisi nonlineare delle onde di discontinuità è svillupato per una teoria generale di magnetoidrodinamica che era studiato da Roberts [6]. L'equazione per la velocità dell'onda è risolto esattamente e la condizione sull'energia libera, che era derivato da Roberts dagli analisi lineare, è riderivato dal punto di vista nonlineare.
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Straughan, B. Nonlinear waves in a general magnetic fluid. Z. angew. Math. Phys. 37, 274–279 (1986). https://doi.org/10.1007/BF00945088
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DOI: https://doi.org/10.1007/BF00945088