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ON A DIFFUSION EQUATION WITH RUPTURE
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
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 1154 1-18, 2023-10-16
Department of Mathematics, Hokkaido University
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Keywords
Details 詳細情報について
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- CRID
- 1390860841880249216
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- DOI
- 10.14943/108357
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- HANDLE
- 2115/90568
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
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- Abstract License Flag
- Allowed