Sharp stability inequalities for planar double bubbles

Marco Cicalese; Gian Paolo Leonardi; Francesco Maggi

doi:10.4171/IFB/384

Sharp stability inequalities for planar double bubbles

Marco Cicalese
, Gian Paolo Leonardi
, Francesco Maggi

Associate Professorship of Mathematical Continuum Mechanics

University of Modena and Reggio Emilia
University of Texas at Austin

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

7 Scopus citations

Abstract

In this paper we address the global stability problem for double-bubbles in the plane. This is accomplished by combining the improved convergence theorem for planar clusters developed in [8] with an ad hoc analysis of the problem, which addresses the delicate interaction between the (possible) dislocation of singularities and the multiple-volumes constraint.

Original language	English
Pages (from-to)	305-350
Number of pages	46
Journal	Interfaces and Free Boundaries
Volume	19
Issue number	3
DOIs	https://doi.org/10.4171/IFB/384
State	Published - 2017

Keywords

Double-bubble.
Isoperimetric problems
Partitioning problems
Stability

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10.4171/IFB/384

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title = "Sharp stability inequalities for planar double bubbles",

abstract = "In this paper we address the global stability problem for double-bubbles in the plane. This is accomplished by combining the improved convergence theorem for planar clusters developed in [8] with an ad hoc analysis of the problem, which addresses the delicate interaction between the (possible) dislocation of singularities and the multiple-volumes constraint.",

keywords = "Double-bubble., Isoperimetric problems, Partitioning problems, Stability",

author = "Marco Cicalese and Leonardi, \{Gian Paolo\} and Francesco Maggi",

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year = "2017",

doi = "10.4171/IFB/384",

language = "English",

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journal = "Interfaces and Free Boundaries",

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T1 - Sharp stability inequalities for planar double bubbles

AU - Cicalese, Marco

AU - Leonardi, Gian Paolo

AU - Maggi, Francesco

N1 - Publisher Copyright: © European Mathematical Society 2017.

PY - 2017

Y1 - 2017

N2 - In this paper we address the global stability problem for double-bubbles in the plane. This is accomplished by combining the improved convergence theorem for planar clusters developed in [8] with an ad hoc analysis of the problem, which addresses the delicate interaction between the (possible) dislocation of singularities and the multiple-volumes constraint.

AB - In this paper we address the global stability problem for double-bubbles in the plane. This is accomplished by combining the improved convergence theorem for planar clusters developed in [8] with an ad hoc analysis of the problem, which addresses the delicate interaction between the (possible) dislocation of singularities and the multiple-volumes constraint.

KW - Double-bubble.

KW - Isoperimetric problems

KW - Partitioning problems

KW - Stability

UR - https://www.scopus.com/pages/publications/85031503946

U2 - 10.4171/IFB/384

DO - 10.4171/IFB/384

M3 - Article

AN - SCOPUS:85031503946

SN - 1463-9963

VL - 19

SP - 305

EP - 350

JO - Interfaces and Free Boundaries

JF - Interfaces and Free Boundaries

IS - 3

ER -

Sharp stability inequalities for planar double bubbles

Abstract

Keywords

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