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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
Archivio
http://hdl.handle.net/11390/1126652
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84961893939
http://www.elsevier.com/inca/publications/store/6/2/2/8/8/6/index.htt
https://www.sciencedirect.com/science/article/pii/S0022247X15010410?via%3Dihub
Diritti
closed access
Soggetti
  • Chaotic dynamic

  • Positive nonsingular ...

  • Rayleigh-Plesset equa...

  • Subharmonic solution

  • Topological horseshoe...

  • Analysi

  • Applied Mathematics

Scopus© citazioni
4
Data di acquisizione
Jun 2, 2022
Vedi dettagli
Web of Science© citazioni
4
Data di acquisizione
Mar 12, 2024
Visualizzazioni
2
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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