ON A DIFFUSION EQUATION WITH RUPTURE

DOI IR (HANDLE) Open Access

Description

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.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390860841880249216
  • DOI
    10.14943/108357
  • HANDLE
    2115/90568
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
  • Abstract License Flag
    Allowed

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