On the stability of spherically symmetric flows

Prosperetti, Andrea

Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 62 (1977) no. 2, pp. 196-203.

Résumé

Si considera il moto prodotto in un liquido lievemente viscoso da una cavità di forma approssimativamente sferica e di raggio variabile. La parete della cavità è descritta in termini di uno sviluppo in armoniche sferiche i cui coefficienti sono funzioni del tempo. Nella ipotesi di piccola distorsione della forma sferica si deriva una equazione di moto linearizzata per tali quantità e si discutono varie caratteristiche del risultato ottenuto.

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