Isotropic Realizability of Current Fields in $\mathbb{R}^3$

DOI10.1137/140989121zbMath1317.35003arXiv1409.7658OpenAlexW2963087154MaRDI QIDQ5266254

Marc Briane, Graeme Walter Milton

Publication date: 30 July 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7658

zbMATH Keywords

current fieldisotropic conductivitydynamical flowFrobenius' condition

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Electro- and magnetostatics (78A30)

Related Items (1)

Isotropic Realizability of Fields and Reconstruction of Invariant Measures under Positivity Properties. Asymptotics of the Flow by a Non-Ergodic Approach

Cites Work

• Caratheodory's principle and the existence of global integrating factors
• Which electric fields are realizable in conducting materials?
• Controlling Electromagnetic Fields
• The Theory of Composites
• Bounds on the effective conductivity of two-dimensional composites made of n ≧ 3 isotropic phases in prescribed volume fraction: the weighted translation method
• Univalent \(\sigma\)-harmonic mappings
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