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Sulla influenza dell'effetto Hall nella propagazione di onde magnetofluidodinamiche iu un fluido incomprimibile

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Si esamina l'influenza dell'effetto Hall sulla propagazione ondosa it un fluido incomprimibile descritto dalle equazioni della magnetofluidodinamica nello schema del continuo.

Nella parte I si studia dapprima la propagazione di onde piane di piccola ampiezza e poi quella delle onde di ampiezza finita. Nella parte II l'indagine é estesa alle onde cilindriche e nella parte III infine si discute la propagazione di onde piane e cilindriche nel caso in cui nello stato imperturbato il fluido non sia in quiete, bensì in moto uniforme.

Nel lavoro si tiene conto delle azioni dissipative della viscosità e della conducibilità elettrica finita.

Summary

In this paper we discuss wave propagation in an incompressible conducting fluid considered as a continuous medium taking account of the Hall effect.

In Part I we first consider the propagation of plane waves of small amplitude and secondly waves of finite amplitude.

In Part II the discussion is extended to cylindrical waves and in Part III the propagation of plane and cylindrical waves is examined when in the unperturbed state the fluid is not at rest, but in a state of uniform motion.

The dissipative effects of viscosity and finite electrical conductivity are taken into account in the present paper.

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A Bruno Finzi nel suo70mo compleanno.

Lavoro eseguito nell'ambito dell'attività dei Gruppi di Ricerca Matematica del C.N.R. (Anno 1969) presso l'Istituto di Matematiche Applicate « U. Dini » della Facoltà di Ingegneria dell'Università di Pisa.

Entrata in Redazione il 20 ottobre 1969.

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Mattei, G. Sulla influenza dell'effetto Hall nella propagazione di onde magnetofluidodinamiche iu un fluido incomprimibile. Annali di Matematica 84, 1–31 (1970). https://doi.org/10.1007/BF02413639

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