Double bubbles for immiscible fluids in \(\mathbb R^n\)

DOI10.1007/s12220-012-9333-1zbMath1306.49057arXiv1212.4580OpenAlexW2079506328MaRDI QIDQ471995

Gary R. Lawlor

Publication date: 18 November 2014

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4580

zbMATH Keywords

symmetrizationGauss mapunificationdouble bubbleimmiscible fluidsweighted area

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (7)

Geometry of anisotropic double crystals ⋮ On the ternary Ohta-Kawasaki free energy and its one-dimensional global minimizers ⋮ Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds ⋮ Core Shells and Double Bubbles in a Weighted Nonlocal Isoperimetric Problem ⋮ Nonlocal minimal clusters in the plane ⋮ Sticky-disk limit of planar \(N\)-bubbles ⋮ Perimeter-minimizing triple bubbles in the plane and the 2-sphere

Cites Work

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• The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter
• Proof of the double bubble conjecture in \(\mathbb R^n\)
• An isoperimetric comparison theorem
• Proof of the double bubble conjecture
• The Isoperimetric Problem on Surfaces

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