Stability of the Melting Hedgehog in the Landau-de Gennes Theory of Nematic Liquid Crystals
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0791-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0791-4 | ||
| 245 | 0 | 0 | |a Stability of the Melting Hedgehog in the Landau-de Gennes Theory of Nematic Liquid Crystals |h [Elektronische Daten] |c [Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir Zarnescu] |
| 520 | 3 | |a We investigate stability properties of the radially symmetric solution corresponding to the vortex defect (the so called "melting hedgehog”) in the framework of the Landau-de Gennes model of nematic liquid crystals. We prove local stability of the melting hedgehog under arbitrary Q-tensor valued perturbations in the temperature regime near the critical supercooling temperature. As a consequence of our method, we also rediscover the loss of stability of the vortex defect in the deep nematic regime. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Ignat |D Radu |u Institut de Mathématiques de Toulouse, Université Paul Sabatier, bât. 1R3, 118 Route de Narbonne, 31062, Toulouse, France |4 aut | |
| 700 | 1 | |a Nguyen |D Luc |u Mathematical Insitute and St Edmund Hall, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, OX2 6GG, Oxford, UK |4 aut | |
| 700 | 1 | |a Slastikov |D Valeriy |u School of Mathematics, University of Bristol, BS8 1TW, Bristol, UK |4 aut | |
| 700 | 1 | |a Zarnescu |D Arghir |u Department of Mathematics, University of Sussex, Pevensey 2, BN1 9QH, Falmer, UK |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/2(2015-02-01), 633-673 |x 0003-9527 |q 215:2<633 |1 2015 |2 215 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0791-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0791-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ignat |D Radu |u Institut de Mathématiques de Toulouse, Université Paul Sabatier, bât. 1R3, 118 Route de Narbonne, 31062, Toulouse, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Nguyen |D Luc |u Mathematical Insitute and St Edmund Hall, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, OX2 6GG, Oxford, UK |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Slastikov |D Valeriy |u School of Mathematics, University of Bristol, BS8 1TW, Bristol, UK |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zarnescu |D Arghir |u Department of Mathematics, University of Sussex, Pevensey 2, BN1 9QH, Falmer, UK |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/2(2015-02-01), 633-673 |x 0003-9527 |q 215:2<633 |1 2015 |2 215 |o 205 | ||