Geometry and stability of bubbles with gravity

Miyuki Koiso; Bennett Palmer

doi:10.1512/iumj.2005.54.2486

Geometry and stability of bubbles with gravity

Miyuki Koiso, Bennett Palmer

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We study the variational theory of surfaces whose mean curvature is prescribed to be a linear function of their height above a horizontal plane (PMC surfaces). We develop a flux formula and use it to prove nonexistence results for closed PMC surfaces. The perturbation theory for PMC surfaces is studied. We obtain necessary conditions for the stability of PMC surfaces with planar boundaries. A height estimate is obtained for stable PMC graphs.

Original language	English
Pages (from-to)	65-98
Number of pages	34
Journal	Indiana University Mathematics Journal
Volume	54
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2005.54.2486
Publication status	Published - 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1512/iumj.2005.54.2486

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Geometry and stability of bubbles with gravity

Abstract

All Science Journal Classification (ASJC) codes

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