caa a22 4500 605515344 CHVBK 20210128100708.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00205-014-0791-4 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0791-4 Stability of the Melting Hedgehog in the Landau-de Gennes Theory of Nematic Liquid Crystals [Elektronische Daten] [Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir Zarnescu] 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. Springer-Verlag Berlin Heidelberg, 2014 Ignat Radu Institut de Mathématiques de Toulouse, Université Paul Sabatier, bât. 1R3, 118 Route de Narbonne, 31062, Toulouse, France aut Nguyen Luc Mathematical Insitute and St Edmund Hall, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, OX2 6GG, Oxford, UK aut Slastikov Valeriy School of Mathematics, University of Bristol, BS8 1TW, Bristol, UK aut Zarnescu Arghir Department of Mathematics, University of Sussex, Pevensey 2, BN1 9QH, Falmer, UK aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/2(2015-02-01), 633-673 0003-9527 215:2<633 2015 215 205 https://doi.org/10.1007/s00205-014-0791-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0791-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ignat Radu Institut de Mathématiques de Toulouse, Université Paul Sabatier, bât. 1R3, 118 Route de Narbonne, 31062, Toulouse, France aut NATIONALLICENCE 700 1- Nguyen Luc Mathematical Insitute and St Edmund Hall, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, OX2 6GG, Oxford, UK aut NATIONALLICENCE 700 1- Slastikov Valeriy School of Mathematics, University of Bristol, BS8 1TW, Bristol, UK aut NATIONALLICENCE 700 1- Zarnescu Arghir Department of Mathematics, University of Sussex, Pevensey 2, BN1 9QH, Falmer, UK aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/2(2015-02-01), 633-673 0003-9527 215:2<633 2015 215 205