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)

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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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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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