Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations

Tadahisa Funaki, Masashi Ohnawa, Yukihito Suzuki, Satoshi Yokoyama

研究成果: Article

3 引用 (Scopus)

抄録

The goal of the present paper is to establish a mathematical basis for analyses of the Rayleigh-Plesset equation combined with certain types of stochastic terms for studying motions of a single bubble immersed in water. We show the unique existence of global solutions to the system and also the existence of invariant measures making use of a suitable Lyapunov function constructed for the underlying deterministic dynamics.

元の言語English
ページ(範囲)20-32
ページ数13
ジャーナルJournal of Mathematical Analysis and Applications
425
発行部数1
DOI
出版物ステータスPublished - 2015 5 1

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Rayleigh Equation
Lyapunov functions
Existence and Uniqueness of Solutions
Stochastic Equations
Invariant Measure
Global Solution
Lyapunov Function
Bubble
Water
Motion
Term

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

これを引用

Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations. / Funaki, Tadahisa; Ohnawa, Masashi; Suzuki, Yukihito; Yokoyama, Satoshi.

:: Journal of Mathematical Analysis and Applications, 巻 425, 番号 1, 01.05.2015, p. 20-32.

研究成果: Article

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