Equivalent theories of liquid crystal dynamics
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Publication:2436314
DOI10.1007/s00205-013-0673-1zbMath1361.76005arXiv1102.2918OpenAlexW2022458646WikidataQ60304877 ScholiaQ60304877MaRDI QIDQ2436314
François Gay-Balmaz, Tudor S. Ratiu, Cesare Tronci
Publication date: 24 February 2014
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.2918
Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)
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Cites Work
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- Existence and uniqueness theorems for the two-dimensional Ericksen-Leslie system
- Euler-Poincaré approaches to nematodynamics
- Reduction theory for symmetry breaking with applications to nematic systems
- Symmetry reduced dynamics of charged molecular strands
- The geometric structure of complex fluids
- An assessment of director and micropolar theories of liquid crystals
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- A unified continuum theory of electrodynamics of liquid crystals
- Nematic liquid crystals and ordered micropolar fluids
- The Euler-Poincaré equations and double bracket dissipation
- Hybrid models for perfect complex fluids with multipolar interactions
- Variational principles for spin systems and the Kirchhoff rod
- Double-bracket dissipation in kinetic theory for particles with anisotropic interactions
- The helicity and vorticity of liquid-crystal flows
- The analogy between spin glasses and Yang–Mills fluids
- Propagation of elastic waves in liquid crystals
