Uniform bound on the number of partitions for optimal configurations of the Ohta–Kawasaki energy in 3D
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Publication:6060881
DOI10.4153/s0008439523000401zbMath1527.49034arXiv2201.11052MaRDI QIDQ6060881
No author found.
Publication date: 6 November 2023
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.11052
Applications of mathematical programming (90C90) Statistical mechanics of polymers (82D60) Optimization of shapes other than minimal surfaces (49Q10)
Cites Work
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- The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter
- Proof of the planar double bubble conjecture using metacalibration methods
- The structure of area-minimizing double bubbles
- Triblock copolymer theory: ordered ABC lamellar phase
- On the derivation of a density functional theory for microphase separation of diblock copolymers
- Proof of the double bubble conjecture
- Triblock copolymer theory: free energy, disordered phase and weak segregation
- Proof of the double bubble conjecture in \(\mathbb{R}^4\) and certain higher dimensional cases.
- The Gaussian double-bubble and multi-bubble conjectures
- Emergence of nontrivial minimizers for the three-dimensional Ohta-Kawasaki energy
- Low density phases in a uniformly charged liquid
- On an Isoperimetric Problem with a Competing Nonlocal Term I: The Planar Case
- Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model
- Local and Global Minimality Results for a Nonlocal Isoperimetric Problem on $\mathbb{R}^N$
- Small Volume-Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional
- A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model
- The standard double bubble is the unique stable double bubble in $\mathbf {R}^2$
- An Old Problem Resurfaces Nonlocally: Gamow's Liquid Drops Inspire Today's Research and Applications
- Periodic minimizers of a ternary non-local isoperimetric problem
- Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp-Interface Functional
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