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1

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

Apala Majumdar, Arghir Zarnescu

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 581 KB

english, 2010

2

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

Luc Nguyen, Arghir Zarnescu

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2013

Language:

english

File:

PDF, 606 KB

english, 2013

3

Dynamic Statistical Scaling in the Landau–de Gennes Theory of Nematic Liquid Crystals

Kirr, Eduard, Wilkinson, Mark, Zarnescu, Arghir

Journal:

Journal of Statistical Physics

Year:

2014

Language:

english

File:

PDF, 379 KB

english, 2014

4

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

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 414 KB

english, 2015

5

Stability of point defects of degree\(\pm \frac{1}{2}\)in a two-dimensional nematic liquid crystal model

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 717 KB

english, 2016

6

Partial regularity and smooth topology-preserving approximations of rough domains

Ball, John M., Zarnescu, Arghir

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2017

Language:

english

File:

PDF, 861 KB

english, 2017

7

Orientable and non-orientable director fields for liquid crystals

John M. Ball, Arghir Zarnescu

Journal:

Year:

2007

Language:

english

File:

PDF, 129 KB

english, 2007

8

Orientability and Energy Minimization in Liquid Crystal Models

John M. Ball, Arghir Zarnescu

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 585 KB

english, 2011

9

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

Marius Paicu, Arghir Zarnescu

Journal:

Archive for Rational Mechanics and Analysis

Year:

2012

Language:

english

File:

PDF, 276 KB

english, 2012

10

Global Existence and Regularity for the Full Coupled Navier–Stokes and Q -Tensor System

Paicu, Marius, Zarnescu, Arghir

Journal:

SIAM Journal on Mathematical Analysis

Year:

2011

Language:

english

File:

PDF, 413 KB

english, 2011

11

Stability of the vortex defect in the Landau–de Gennes theory for nematic liquid crystals

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

Journal:

Comptes Rendus Mathematique

Year:

2013

File:

PDF, 232 KB

2013

12

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

Feireisl, Eduard, Schimperna, Giulio, Rocca, Elisabetta, Zarnescu, Arghir

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2015

Language:

english

File:

PDF, 409 KB

english, 2015

13

Uniqueness Results for an ODE Related to a Generalized Ginzburg--Landau Model for Liquid Crystals

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

Journal:

SIAM Journal on Mathematical Analysis

Year:

2014

Language:

english

File:

PDF, 583 KB

english, 2014

14

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

Ball, John M., Zarnescu, Arghir

Journal:

Molecular Crystals and Liquid Crystals

Year:

2008

Language:

english

File:

PDF, 272 KB

english, 2008

15

Dynamic cubic instability in a 2D Q-tensor model for liquid crystals

Iyer, Gautam, Xu, Xiang, Zarnescu, Arghir D.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2015

Language:

english

File:

PDF, 503 KB

english, 2015

16

Coercivity and stability results for an extended Navier-Stokes system

Iyer, Gautam, Pego, Robert L., Zarnescu, Arghir

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 275 KB

english, 2012

17

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

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2015

Language:

english

File:

PDF, 1.00 MB

english, 2015

18

Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation

Kitavtsev, Georgy, Robbins, J. M., Slastikov, Valeriy, Zarnescu, Arghir

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2016

Language:

english

File:

PDF, 2.66 MB

english, 2016

19

Global well-posedness and twist-wave solutions for the inertial Qian–Sheng model of liquid crystals

De Anna, Francesco, Zarnescu, Arghir

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.56 MB

english, 2017

20

Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals

Murza, Adrian C., Teruel, Antonio E., Zarnescu, Arghir D.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2018

Language:

english

File:

PDF, 632 KB

english, 2018

21

On a hyperbolic system arising in liquid crystals modeling

Feireisl, Eduard, Rocca, Elisabetta, Schimperna, Giulio, Zarnescu, Arghir

Journal:

Journal of Hyperbolic Differential Equations

Year:

2018

Language:

english

File:

PDF, 228 KB

english, 2018

22

Dynamics and Flow Effects in the Beris-Edwards System Modeling Nematic Liquid Crystals

Wu, Hao, Xu, Xiang, Zarnescu, Arghir

Journal:

Archive for Rational Mechanics and Analysis

Year:

2018

File:

PDF, 804 KB

2018

23

Uniqueness of degree-one Ginzburg–Landau vortex in the unit ball in dimensions N ≥ 7

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

Journal:

Comptes Rendus Mathematique

Year:

2018

Language:

english

File:

PDF, 390 KB

english, 2018

24

Dynamics and Flow Effects in the Beris-Edwards System Modeling Nematic Liquid Crystals

Wu, Hao, Xu, Xiang, Zarnescu, Arghir

Journal:

Archive for Rational Mechanics and Analysis

Year:

2018

Language:

english

File:

PDF, 804 KB

english, 2018

25

Sphere-valued harmonic maps with surface energy and the K 13 problem

Day, Stuart, Zarnescu, Arghir Dani

Journal:

Advances in Calculus of Variations

Year:

2017

Language:

english

File:

PDF, 854 KB

english, 2017

26

On a Sharp Poincaré-Type Inequality on the 2-Sphere and its Application in Micromagnetics

Di Fratta, Giovanni, Slastikov, Valeriy, Zarnescu, Arghir

Journal:

SIAM Journal on Mathematical Analysis

Year:

2019

Language:

english

File:

PDF, 639 KB

english, 2019

27

Landau-de Gennes Corrections to the Oseen-Frank Theory of Nematic Liquid Crystals

Di Fratta, Giovanni, Robbins, Jonathan M., Slastikov, Valeriy, Zarnescu, Arghir

Journal:

Archive for Rational Mechanics and Analysis

Year:

2020

File:

PDF, 703 KB

2020

28

Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation

Canevari, Giacomo, Zarnescu, Arghir

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2019

File:

PDF, 529 KB

2019

29

Symmetry and Multiplicity of Solutions in a Two-Dimensional Landauâde Gennes Model for Liquid Crystals

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy, Zarnescu, Arghir

Journal:

Archive for Rational Mechanics and Analysis

Year:

2020

File:

PDF, 773 KB

2020

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