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Non-singular solutions of a Rayleigh-Plesset equation under a periodic pressure field

Burra, Lakshmi
•
Zanolin, Fabio
2016
  • journal article

Periodico
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
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.
DOI
10.1016/j.jmaa.2015.11.016
WOS
WOS:000367119200022
SCOPUS
2-s2.0-84961893939
Archivio
http://hdl.handle.net/11390/1126652
Diritti
closed access
Soggetti
  • Chaotic dynamics

  • Positive nonsingular ...

  • Rayleigh-Plesset equa...

  • Subharmonic solutions...

  • Topological horseshoe...

  • Analysis

  • Applied Mathematics

Web of Science© citazioni
2
Data di acquisizione
Jun 5, 2022
Scopus© citazioni
4
Data di acquisizione
Jun 2, 2022
Vedi dettagli
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