Non-linear stability of double bubbles under surface diffusion

نویسندگان

چکیده

We consider the evolution of triple junction clusters driven by surface diffusion flow. On line we use boundary conditions derived Garcke and Novick-Cohen as singular limit a Cahn-Hilliard equation with degenerated mobility. These are concurrency junction, angle between hypersurfaces, continuity chemical potentials flux-balance. For this system show stability its energy minimizers, i.e., standard double bubbles. The main argument relies on Łojasiewicz-Simon gradient inequality. proof it differs from others works due to fully non-linear problems (non-local) tangential part.

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2021

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2021.08.033