ON A DIFFUSION EQUATION WITH RUPTURE

DOI 機関リポジトリ (HANDLE) オープンアクセス

説明

We propose a model to describe an evolution of a bubble cluster with rupture. In a special case, the equation is reduced to a single parabolic equation with evaporation for the thickness of a liquid layer covering bubbles. We postulate that a bubble collapses if this liquid layer becomes thin. We call this collapse a rupture. We prove for our model that there is a periodic-in-time solution if the place of rupture occurs only in the largest bubble. Numerical tests indicate that there may not exist a periodic solution if such an assumption is violated.

収録刊行物

キーワード

詳細情報 詳細情報について

  • CRID
    1390860841880249216
  • DOI
    10.14943/108357
  • HANDLE
    2115/90568
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • JaLC
    • IRDB
  • 抄録ライセンスフラグ
    使用可

問題の指摘

ページトップへ