A note on non lower semicontinuous perimeter functionals on partitions

DOI10.3934/nhm.2016006zbMath1347.49080arXiv1505.00820OpenAlexW2963884487MaRDI QIDQ316969

Matteo Novaga, Annibale Magni

Publication date: 30 September 2016

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00820

zbMATH Keywords

regularityinterfacesminimal partitionsperimeter functionals

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Variational methods applied to problems in fluid mechanics (76M30) Regularity of solutions in optimal control (49N60) Three or more component flows (76T30)

Related Items (1)

Ground States of a Two Phase Model with Cross and Self Attractive Interactions

Cites Work

• Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
• Immiscible fluid clusters in \({\mathbb{R}}^2\) and \({\mathbb{R}}^3\)
• The cellular basis of cell sorting kinetics
• Existence of least-energy configurations of immiscible fluids
• A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics
• Infiltrations in immiscible fluids systems
• Sets of Finite Perimeter and Geometric Variational Problems
• Strict interior approximation of sets of finite perimeter and functions of bounded variation
• Isoperimetric inequalities in Euclidean convex bodies
• Threshold Dynamics for Networks with Arbitrary Surface Tensions

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