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

DOI10.1016/j.jmaa.2015.11.016zbMath1379.37142OpenAlexW2179986126MaRDI QIDQ898858

Lakshmi Burra, Fabio Zanolin

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.016

zbMATH Keywords

chaotic dynamicssubharmonic solutionRayleigh-Plesset equationtopological horseshoepositive nonsingular solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Liquid-gas two-phase flows, bubbly flows (76T10) Multifrequency systems of ordinary differential equations (34C46)

Related Items (3)

About a cavitation model including bubbles in thin film lubrication taking convection into account ⋮ Unnamed Item ⋮ Monotonicity of the period function and chaotic dynamics in a class of singular ODEs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic solutions to singular second-order differential equations: the repulsive case
• Periodic solutions of singular second order differential equations: upper and lower functions
• Chaotic dynamics in periodically forced asymmetric ordinary differential equations
• A geometric criterion for positive topological entropy
• Mathematical models with singularities. A zoo of singular creatures
• Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimen\-sional cells
• Periodic solutions to the Liénard type equations with phase attractive singularities
• Topological horseshoes
• The Rayleigh-Plesset equation: a simple and powerful tool to understand various aspects of cavitation
• On the Definition of Chaos
• Bubbles
• CHAOTIC DYNAMICS FOR MAPS IN ONE AND TWO DIMENSIONS: A GEOMETRICAL METHOD AND APPLICATIONS TO ECONOMICS
• Cavitation and Bubble Dynamics

This page was built for publication: Non-singular solutions of a Rayleigh-Plesset equation under a periodic pressure field