Sommario
Si considera il sistema della magnetoidrodinamica per un fluido ideale nell'ambito della teoria dei gruppi di trasformazioni e si determinano i gruppi rispetto ai quali il sistema in esame é invariante. Quindi la possibile formazione di singolaritá nelle soluzioni di similaritá é studiata. Si trova, inoltre, una particolare soluzione esatta di similaritá che descrive un'onda esplosiva. Infine é studiata la propagazione di onde di discontinuitá nello stato non costante caratterizzato dal flusso dell'onda esplosiva.
Summary
The equations describing the one-dimensional motion of an ideal fluid through a magnetic field are considered using the group analysis approach. The groups of transformations leaving the governing system invariant are characterized and the possible occurrence of singularities in the similarity solutions is discussed. By means of a special approach an exact (similarity) solution, describing a blast wave, is determined. Then the weak discontinuity propagation in the non-constant blast wave flow is studied.
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This work was supported by the C.N.R. through the G.N.F.M.
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Manganaro, N., Olivieri, F. Group analysis approach in magnetohydrodynamics: Weak discontinuity propagation in a non-constant state. Meccanica 24, 71–78 (1989). https://doi.org/10.1007/BF01560132
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DOI: https://doi.org/10.1007/BF01560132