ON A DIFFUSION EQUATION WITH RUPTURE

Giga, Yoshikazu; Ueda, Yuki

Hokkaido University Preprint Series in Mathematics, 2023, 1154, 1-18

Permalink : https://doi.org/10.14943/108357

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On a diffusion equation with rupture	pdf	660 KB	1,940

アクセス権	open access
DOI	https://doi.org/10.14943/108357
URI	https://hdl.handle.net/2115/90568
タイトル	ON A DIFFUSION EQUATION WITH RUPTURE
著者	e-Rad_Researcher 70144110 著者名 Giga, Yoshikazu
著者	著者名 Ueda, Yuki
言語	英語
発行日	2023-10-16
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1154
ページ	1-18
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record