4.1 Review

Mathematics and liquid crystals

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Applied

Function Spaces for Liquid Crystals

Stephen Bedford

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2016)

Article Mathematics, Applied

Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three

Fanghua Lin et al.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2016)

Article Mathematics

PARTIAL REGULARITY FOR MINIMIZERS OF SINGULAR ENERGY FUNCTIONALS, WITH APPLICATION TO LIQUID CRYSTAL MODELS

Lawrence C. Evans et al.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2016)

Article Mathematics, Applied

Instability of point defects in a two-dimensional nematic liquid crystal model

Radu Ignat et al.

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2016)

Article Mathematics, Applied

Minimizers of the Landau-de Gennes Energy Around a Spherical Colloid Particle

Stan Alama et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2016)

Article Mathematics, Applied

Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension Three

Tao Huang et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2016)

Article Mathematics, Applied

Regularity and the behavior of eigenvalues for minimizers of a constrained Q-tensor energy for liquid crystals

Patricia Bauman et al.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2016)

Article Mathematics, Applied

Stability of point defects of degree ±1/2 in a two-dimensional nematic liquid crystal model

Radu Ignat et al.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2016)

Article Engineering, Multidisciplinary

A numerical study of void coalescence and fracture in nonlinear elasticity

Duvan Henao et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2016)

Article Mathematics, Applied

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

Gregory A. Chechkin et al.

JOURNAL OF MATHEMATICAL FLUID MECHANICS (2016)

Article Physics, Mathematical

Maximum Entropy Methods as the Bridge Between Microscopic and Macroscopic Theory

Jamie M. Taylor

JOURNAL OF STATISTICAL PHYSICS (2016)

Article Mathematics, Applied

Analysis of a variational model for nematic shells

Antonio Segatti et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2016)

Article Mathematics, Applied

Radial symmetry on three-dimensional shells in the Landau-de Gennes theory

Giacomo Canevari et al.

PHYSICA D-NONLINEAR PHENOMENA (2016)

Article Mathematics, Applied

SAWTOOTH PROFILE IN SMECTIC A LIQUID CRYSTALS

Carlos J. Garcia-Cervera et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2016)

Article Mathematics, Applied

ON THE LANDAU-DE GENNES ELASTIC ENERGY OF CONSTRAINED BIAXIAL NEMATICS

Domenico Mucci et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2016)

Article Mathematics, Applied

Uniaxial symmetry in nematic liquid crystals

Xavier Lamy

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2015)

Article Mathematics, Applied

Effective Behavior of Nematic Elastomer Membranes

Pierluigi Cesana et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2015)

Article Mathematics, Applied

Strictly Physical Global Weak Solutions of a Navier-Stokes Q-tensor System with Singular Potential

Mark Wilkinson

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2015)

Article Mathematics

Morse's index formula in VMO for compact manifolds with boundary

Giacomo Canevari et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2015)

Article Chemistry, Multidisciplinary

Discontinuous Order Parameters in Liquid Crystal Theories

J. M. Ball et al.

MOLECULAR CRYSTALS AND LIQUID CRYSTALS (2015)

Article Mathematics, Interdisciplinary Applications

ON A MOLECULAR BASED Q-TENSOR MODEL FOR LIQUID CRYSTALS WITH DENSITY VARIATIONS

Song Mei et al.

MULTISCALE MODELING & SIMULATION (2015)

Article Multidisciplinary Sciences

Knot theory realizations in nematic colloids

Simon Copar et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2015)

Article Mathematics, Applied

Attainment results for nematic elastomers

Virginia Agostiniani et al.

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2015)

Article Mathematics, Applied

AN ANALYSIS OF CHEVRONS IN THIN LIQUID CRYSTAL CELLS

Lei Z. Cheng et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2015)

Article Mathematics, Applied

RIGOROUS DERIVATION FROM LANDAU-DE GENNES THEORY TO ERICKSEN-LESLIE THEORY

Wei Wang et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2015)

Article Mathematics, Applied

DEFLATION TECHNIQUES FOR FINDING DISTINCT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

P. E. Farrell et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2015)

Article Mathematics, Applied

Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy

Eduard Feireisl et al.

ANNALI DI MATEMATICA PURA ED APPLICATA (2015)

Article Mathematics, Applied

Γ-convergence Approximation of Fracture and Cavitation in Nonlinear Elasticity

Duvan Henao et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2015)

Article Mathematics, Applied

From Microscopic Theory to Macroscopic Theory: a Systematic Study on Modeling for Liquid Crystals

Jiequn Han et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2015)

Article Mathematics, Applied

Stability of the Melting Hedgehog in the Landau-de Gennes Theory of Nematic Liquid Crystals

Radu Ignat et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2015)

Article Mathematics, Applied

EXISTENCE OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS FOR SMECTIC LIQUID CRYSTALS

Patricia Bauman et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S (2015)

Article Mathematics, Applied

Partial Sobolev spaces and anisotropic smectic liquid crystals

Xing-Bin Pan

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2014)

Article Physics, Mathematical

Regularity and Existence of Global Solutions to the Ericksen-Leslie System in

Jinrui Huang et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2014)

Article Mathematics, Applied

ANALYSIS AND SIMULATIONS OF THE CHEN-LUBENSKY ENERGY FOR SMECTIC LIQUID CRYSTALS: ONSET OF UNDULATIONS

Carlos J. Garcia-Cervera et al.

COMMUNICATIONS IN MATHEMATICAL SCIENCES (2014)

Article Chemistry, Physical

Mutually tangled colloidal knots and induced defect loops in nematic fields

Angel Martinez et al.

NATURE MATERIALS (2014)

Article Physics, Fluids & Plasmas

Modeling smectic layers in confined geometries: Order parameter and defects

Mykhailo Y. Pevnyi et al.

PHYSICAL REVIEW E (2014)

Article Physics, Fluids & Plasmas

Equilibrium configurations of nematic liquid crystals on a torus

Antonio Segatti et al.

PHYSICAL REVIEW E (2014)

Article Multidisciplinary Sciences

Splitting, linking, knotting, and solitonic escape of topological defects in nematic drops with handles

Mykola Tasinkevych et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2014)

Article Mathematics, Applied

WELL-POSEDNESS OF A FULLY COUPLED NAVIER-STOKES/Q-TENSOR SYSTEM WITH INHOMOGENEOUS BOUNDARY DATA

Helmut Abels et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2014)

Article Chemistry, Physical

Saddle-splay screening and chiral symmetry breaking in toroidal nematics

Vinzenz Koning et al.

SOFT MATTER (2014)

Article Mathematics, Applied

Analysis of a Ginzburg-Landau type energy model for smectic C* liquid crystals with defects

Sean Colbert-Kelly et al.

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2013)

Article Mathematics

A mathematical PDE perspective on the Chapman–Enskog expansion

Laure Saint-Raymond

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY (2013)

Article Mathematics

Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations

Alexander N. Gorban et al.

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY (2013)

Article Mathematics, Applied

Refined approximation for minimizers of a Landau-de Gennes energy functional

Luc Nguyen et al.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2013)

Article Mathematics, Applied

Some properties of the nematic radial hedgehog in the Landau-de Gennes theory

Xavier Lamy

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2013)

Article Mathematics

Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in R2

Min-Chun Hong et al.

ADVANCES IN MATHEMATICS (2012)

Article Mathematics, Applied

Analytic Description of Layer Undulations in Smectic A Liquid Crystals

Carlos J. Garcia-Cervera et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2012)

Article Mathematics, Applied

Energy Dissipation and Regularity for a Coupled Navier-Stokes and Q-Tensor System

Marius Paicu et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2012)

Article Mathematics, Applied

Analysis of Nematic Liquid Crystals with Disclination Lines

Patricia Bauman et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2012)

Article Mathematics, Applied

On the Elastic Energy Density of Constrained Q-Tensor Models for Biaxial Nematics

Domenico Mucci et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2012)

Article Thermodynamics

Parallel transport and defects on nematic shells

Riccardo Rosso et al.

CONTINUUM MECHANICS AND THERMODYNAMICS (2012)

Article Mathematics, Applied

ON A DOUBLE PENALIZED SMECTIC-A MODEL

Blanca Climent-Ezquerra et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2012)

Article Mathematics, Applied

The radial-hedgehog solution in Landau-de Gennes' theory for nematic liquid crystals

Apala Majumdar

EUROPEAN JOURNAL OF APPLIED MATHEMATICS (2012)

Article Mathematics, Applied

SYMMETRY OF UNIAXIAL GLOBAL LANDAU-DE GENNES MINIMIZERS IN THE THEORY OF NEMATIC LIQUID CRYSTALS

Duvan Henao et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2012)

Article Chemistry, Multidisciplinary

Predicting surface anchoring: molecular organization across a thin film of 5CB liquid crystal on silicon

A. Pizzirusso et al.

CHEMICAL SCIENCE (2012)

Article Mathematics, Applied

Fracture Surfaces and the Regularity of Inverses for BV Deformations

Duvan Henao et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2011)

Article Mathematics, Applied

Orientability and Energy Minimization in Liquid Crystal Models

John M. Ball et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2011)

Article Mathematics, Applied

Global existence of solutions of the simplified Ericksen-Leslie system in dimension two

Min-Chun Hong

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2011)

Article Mathematics, Applied

NUMERICAL APPROXIMATION OF NEMATIC LIQUID CRYSTAL FLOWS GOVERNED BY THE ERICKSEN-LESLIE EQUATIONS

Noel J. Walkington

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2011)

Article Multidisciplinary Sciences

Reconfigurable Knots and Links in Chiral Nematic Colloids

Uros Tkalec et al.

SCIENCE (2011)

Article Mathematics, Applied

FINITE DIMENSIONAL REDUCTION AND CONVERGENCE TO EQUILIBRIUM FOR INCOMPRESSIBLE SMECTIC-A LIQUID CRYSTAL FLOWS

Antonio Segatti et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2011)

Article Mathematics, Applied

GLOBAL EXISTENCE AND REGULARITY FOR THE FULL COUPLED NAVIER-STOKES AND Q-TENSOR SYSTEM

Marius Paicu et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2011)

Article Mathematics, Applied

Landau-De Gennes Theory of Nematic Liquid Crystals: the Oseen-Frank Limit and Beyond

Apala Majumdar et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2010)

Article Mathematics, Applied

Invertibility and Weak Continuity of the Determinant for the Modelling of Cavitation and Fracture in Nonlinear Elasticity

Duvan Henao et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2010)

Article Mathematics, Applied

Liquid Crystal Flows in Two Dimensions

Fanghua Lin et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2010)

Article Mathematics

On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals

Fanghua Lin et al.

CHINESE ANNALS OF MATHEMATICS SERIES B (2010)

Article Mathematics, Applied

GLOBAL IN TIME SOLUTION AND TIME-PERIODICITY FOR A SMECTIC-A LIQUID CRYSTAL MODEL

Blanca Climent-Ezquerra et al.

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2010)

Article Chemistry, Multidisciplinary

Nematic Liquid Crystals: From Maier-Saupe to a Continuum Theory

John M. Ball et al.

MOLECULAR CRYSTALS AND LIQUID CRYSTALS (2010)

Article Mathematics, Applied

Exact multiplicity of nematic states for an Onsager model

Marcello Lucia et al.

NONLINEARITY (2010)

Article Mathematics

The Euler equations as a differential inclusion

Camillo De Lellis et al.

ANNALS OF MATHEMATICS (2009)

Article Chemistry, Multidisciplinary

Landau-de Gennes modelling of nematic liquid crystal colloids

Miha Ravnik et al.

LIQUID CRYSTALS (2009)

Article Mathematics, Applied

STRAIN-ORDER COUPLING IN NEMATIC ELASTOMERS: EQUILIBRIUM CONFIGURATIONS

Pierluigi Cesana et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2009)

Article Physics, Multidisciplinary

Mechanically Induced Biaxial Transition in a Nanoconfined Nematic Liquid Crystal with a Topological Defect

Giovanni Carbone et al.

PHYSICAL REVIEW LETTERS (2009)

Article Mathematics, Applied

Thin boundary layers of chiral smectics

Y. Almog

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2008)

Article Physics, Mathematical

Critical elastic coefficient of liquid crystals and hysteresis

Xing-Bin Pan

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2008)

Article Chemistry, Multidisciplinary

Orientable and Non-Orientable Line Field Models for Uniaxial Nematic Liquid Crystals

John M. Ball et al.

MOLECULAR CRYSTALS AND LIQUID CRYSTALS (2008)

Article Mathematics, Applied

A CONTINUUM THEORY OF CHIRAL SMECTIC C LIQUID CRYSTALS

Maria-Carme Calderer et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2008)

Article Physics, Fluids & Plasmas

Landau-de Gennes theory of isotropic-nematic-smectic liquid crystal transitions

Paolo Biscari et al.

PHYSICAL REVIEW E (2007)

Article Mathematics, Interdisciplinary Applications

Microscopic-macroscopic simulations of rigid-rod polymer hydrodynamics: Heterogeneity and rheochaos

M. Gregory Forest et al.

MULTISCALE MODELING & SIMULATION (2007)

Article Mathematics, Applied

Analysis of nonlocal electrostatic effects in chiral smectic C liquid crystals

Jinhae Park et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2006)

Article Mathematics

Smectic liquid crystals: materials with one-dimensional, periodic order

Randall D. Kamien et al.

GEOMETRIAE DEDICATA (2006)

Article Mathematics, Applied

Critical points of the Onsager functional on a sphere

I Fatkullin et al.

NONLINEARITY (2005)

Article Multidisciplinary Sciences

Curvature and topology in smectic-A liquid crystals

CD Santangelo et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2005)

Article Mathematics

Partial regularity of weak solutions of the liquid crystal equilibrium system

MC Hong

INDIANA UNIVERSITY MATHEMATICS JOURNAL (2004)

Article Chemistry, Physical

Electric field induced order reconstruction in a nematic cell

R Barberi et al.

EUROPEAN PHYSICAL JOURNAL E (2004)

Article Physics, Fluids & Plasmas

Order reconstruction in frustrated nematic twist cells

F Bisi et al.

PHYSICAL REVIEW E (2003)

Article Mathematics, Applied

Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies

A DeSimone et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2002)

Article Physics, Multidisciplinary

Universal fine structure of nematic hedgehogs

S Kralj et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2001)