Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations

DOI10.1016/j.jmaa.2014.12.018zbMath1310.34080OpenAlexW2083626460MaRDI QIDQ486534

Masashi Ohnawa, Yukihito Suzuki, Tadahisa Funaki, Satoshi Yokoyama

Publication date: 16 January 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.2014.12.018

zbMATH Keywords

ordinary differential equationsstochastic differential equationsLyapunov functionsfluid dynamics

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05)

Related Items (5)

Mathematical and Numerical Analysis of the Rayleigh-Plesset and the Keller Equations ⋮ Dynamics of the delay-coupled bubble system combined with the stochastic term ⋮ About a cavitation model including bubbles in thin film lubrication taking convection into account ⋮ Free boundary problem for a gas bubble in a liquid, and exponential stability of the manifold of spherically symmetric equilibria ⋮ On the collapse of trial solutions for a damped-driven nonlinear Schrödinger equation

Cites Work

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• On a new derivation of the Navier-Stokes equation
• Existence of strong solutions for Itô's stochastic equations via approximations
• The effect of viscosity on the spherical stability of oscillating gas bubbles
• Numerical analysis of Rayleigh–Plesset equation for cavitating water jets
• Ergodicity for Infinite Dimensional Systems

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