REGULARITY OF CAPILLARITY DROPLETS WITH OBSTACLE

Guido de Philippis; Nicola Fusco; Massimiliano Morini

doi:10.1090/tran/9152

REGULARITY OF CAPILLARITY DROPLETS WITH OBSTACLE

Guido de Philippis, Nicola Fusco, Massimiliano Morini

Mathematics

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

Abstract

In this paper we study the regularity properties of Λ-minimizers of the capillarity energy in a half space with the wet part constrained to be confined inside a given planar region. Applications to a model for nanowire growth are also provided.

Original language	English (US)
Pages (from-to)	5787-5835
Number of pages	49
Journal	Transactions of the American Mathematical Society
Volume	377
Issue number	8
DOIs	https://doi.org/10.1090/tran/9152
State	Published - Aug 2024

Keywords

Capillarity surfaces
regularity
thin obstacles

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/tran/9152

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title = "REGULARITY OF CAPILLARITY DROPLETS WITH OBSTACLE",

abstract = "In this paper we study the regularity properties of Λ-minimizers of the capillarity energy in a half space with the wet part constrained to be confined inside a given planar region. Applications to a model for nanowire growth are also provided.",

keywords = "Capillarity surfaces, regularity, thin obstacles",

author = "{de Philippis}, Guido and Nicola Fusco and Massimiliano Morini",

note = "Publisher Copyright: {\textcopyright} 2024 American Mathematical Society.",

year = "2024",

month = aug,

doi = "10.1090/tran/9152",

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AU - Fusco, Nicola

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AB - In this paper we study the regularity properties of Λ-minimizers of the capillarity energy in a half space with the wet part constrained to be confined inside a given planar region. Applications to a model for nanowire growth are also provided.

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KW - thin obstacles

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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REGULARITY OF CAPILLARITY DROPLETS WITH OBSTACLE

Abstract

Keywords

ASJC Scopus subject areas

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