In this paper we prove the existence of infinitely many non-singular subharmonic solutions, as well as the presence of complex dynamics, for the equation with singularity ü + g1uβ-g2uγ = h0(t)uδ, where h0(t) is a T-periodic stepwise function. Our result is stable with respect to small perturbations and can be applied to the Rayleigh-Plesset equation governing the dynamics of a bubble immersed in an infinite domain of liquid. © 2015 Elsevier Inc.
Non-singular solutions of a Rayleigh-Plesset equation under a periodic pressure field
Zanolin, Fabio
2016-01-01
Abstract
In this paper we prove the existence of infinitely many non-singular subharmonic solutions, as well as the presence of complex dynamics, for the equation with singularity ü + g1uβ-g2uγ = h0(t)uδ, where h0(t) is a T-periodic stepwise function. Our result is stable with respect to small perturbations and can be applied to the Rayleigh-Plesset equation governing the dynamics of a bubble immersed in an infinite domain of liquid. © 2015 Elsevier Inc.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Burra_Zanolin_JMAA_2016.pdf
non disponibili
Descrizione: Articolo pubblicato
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non pubblico
Dimensione
533.89 kB
Formato
Adobe PDF
|
533.89 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
