{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:49:28Z","timestamp":1772286568462,"version":"3.50.1"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,8,25]],"date-time":"2015-08-25T00:00:00Z","timestamp":1440460800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Nonlinear Sci"],"published-print":{"date-parts":[[2016,2]]},"DOI":"10.1007\/s00332-015-9271-8","type":"journal-article","created":{"date-parts":[[2015,8,24]],"date-time":"2015-08-24T11:53:32Z","timestamp":1440417212000},"page":"121-140","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["Half-Integer Point Defects in the Q-Tensor Theory of Nematic Liquid Crystals"],"prefix":"10.1007","volume":"26","author":[{"given":"G.","family":"Di Fratta","sequence":"first","affiliation":[]},{"given":"J. M.","family":"Robbins","sequence":"additional","affiliation":[]},{"given":"V.","family":"Slastikov","sequence":"additional","affiliation":[]},{"given":"A.","family":"Zarnescu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,8,25]]},"reference":[{"issue":"2","key":"9271_CR1","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1007\/s00205-011-0421-3","volume":"202","author":"JM Ball","year":"2011","unstructured":"Ball, J.M., Zarnescu, A.: Orientability and energy minimization in liquid crystal models. Arch. Ration. Mech. Anal. 202(2), 493\u2013535 (2011)","journal-title":"Arch. Ration. Mech. Anal."},{"issue":"3","key":"9271_CR2","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1007\/s00205-012-0530-7","volume":"205","author":"P Bauman","year":"2012","unstructured":"Bauman, P., Park, J., Phillips, D.: Analysis of nematic liquid crystals with disclination lines. Arch. Ration. Mech. Anal. 205(3), 795\u2013826 (2012)","journal-title":"Arch. Ration. Mech. Anal."},{"issue":"2","key":"9271_CR3","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/BF00375093","volume":"118","author":"F Bethuel","year":"1992","unstructured":"Bethuel, F., Brezis, H., Coleman, B.D., H\u00e9lein, F.: Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders. Arch. Ration. Mech. Anal. 118(2), 149\u2013168 (1992)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"9271_CR4","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/0362-546X(86)90011-8","volume":"10","author":"H Brezis","year":"1986","unstructured":"Brezis, H., Oswald, L.: Remarks on sublinear elliptic equations. Nonlinear Anal. 10, 55\u201364 (1986)","journal-title":"Nonlinear Anal."},{"issue":"2","key":"9271_CR5","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/S0020-7462(97)81142-0","volume":"32","author":"P Biscari","year":"1997","unstructured":"Biscari, P., Virga, E.: Local stability of biaxial nematic phases between two cylinders. Int. J. Nonlinear Mech. 32(2), 337\u2013351 (1997)","journal-title":"Int. J. Nonlinear Mech."},{"key":"9271_CR6","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1051\/cocv\/2014025","volume":"21","author":"G Canevari","year":"2015","unstructured":"Canevari, G.: Biaxiality in the asymptotic analysis of a 2-D Landau-de Gennes model for liquid crystals. ESAIM COCV 21, 101\u2013137 (2015)","journal-title":"ESAIM COCV"},{"key":"9271_CR7","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1080\/00018738600101941","volume":"35","author":"S Chandrasekhar","year":"1986","unstructured":"Chandrasekhar, S., Ranganath, G.S.: The structure and energetics of defects in liquid crystals. Adv. Phys. 35, 507\u2013596 (1986)","journal-title":"Adv. Phys."},{"key":"9271_CR8","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1051\/jphys:01972003305-6059100","volume":"33","author":"PE Cladis","year":"1972","unstructured":"Cladis, P.E., Kleman, M.: Non-singular disclinations of strength S = + 1 in nematics. J. Phys. 33, 591\u2013598 (1972). (Paris)","journal-title":"J. Phys."},{"key":"9271_CR9","doi-asserted-by":"crossref","first-page":"1759","DOI":"10.1080\/02678292.2013.853109","volume":"40","author":"S Copara","year":"2013","unstructured":"Copara, S., Porentab, T., Zumer, S.: Visualisation methods for complex nematic fields. Liq. Cryst. 40, 1759\u20131768 (2013)","journal-title":"Liq. Cryst."},{"key":"9271_CR10","volume-title":"The Physics of Liquid Crystals","author":"PG Gennes De","year":"1974","unstructured":"De Gennes, P.G.: The Physics of Liquid Crystals. Clarendon Press, Oxford (1974)"},{"issue":"2","key":"9271_CR11","first-page":"97120","volume":"113","author":"JL Ericksen","year":"1990","unstructured":"Ericksen, J.L.: Liquid crystals with variable degree of orientation. Arch. Ration. Mech. Anal. 113(2), 97120 (1990)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"9271_CR12","doi-asserted-by":"crossref","first-page":"917","DOI":"10.4310\/CMS.2009.v7.n4.a6","volume":"7","author":"I Fatkullin","year":"2009","unstructured":"Fatkullin, I., Slastikov, V.: Vortices in two-dimensional nematics. Commun. Math. Sci 7, 917\u2013938 (2009)","journal-title":"Commun. Math. Sci"},{"key":"9271_CR13","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1103\/PhysRevE.59.563","volume":"59","author":"EC Gartland","year":"1999","unstructured":"Gartland, E.C., Mkaddem, S.: Instability of radial hedgehog configurations in nematic liquid crystals under Landaude Gennes free-energy models. Phys. Rev. E 59, 563\u2013567 (1999)","journal-title":"Phys. Rev. E"},{"key":"9271_CR14","doi-asserted-by":"crossref","unstructured":"Golovaty, D., Montero, A.: On minimizers of the Landau-de Gennes energy functional on planar domains. arXiv:1307.4437 (2013)","DOI":"10.1007\/s00205-014-0731-3"},{"key":"9271_CR15","doi-asserted-by":"crossref","unstructured":"Henao, D., Majumdar, A.: Symmetry of uniaxial global Landau-de Gennes minimizers in the theory of nematic liquid crystals. SIAM J. Math. Anal. 44 3217\u20133241 (2012); 45 3872\u20133874 (2013) (corrigendum)","DOI":"10.1137\/110856861"},{"issue":"5","key":"9271_CR16","doi-asserted-by":"crossref","first-page":"3390","DOI":"10.1137\/130948598","volume":"46","author":"R Ignat","year":"2014","unstructured":"Ignat, R., Nguyen, L., Slastikov, V., Zarnescu, A.: Uniqueness result for an ODE related to a generalized Ginzburg-Landau model for liquid crystals. SIAM J. Math. Anal. 46(5), 3390\u20133425 (2014)","journal-title":"SIAM J. Math. Anal."},{"key":"9271_CR17","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1007\/s00205-014-0791-4","volume":"215","author":"R Ignat","year":"2015","unstructured":"Ignat, R., Nguyen, L., Slastikov, V., Zarnescu, A.: Stability of the melting hedgehog in the Landau de Gennes theory of nematic liquid crystals. Arch. Ration. Mech. Anal. 215, 633\u2013673 (2015)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"9271_CR18","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1016\/j.crma.2013.07.012","volume":"351","author":"R Ignat","year":"2013","unstructured":"Ignat, R., Nguyen, L., Slastikov, V., Zarnescu, A.: Stability of the vortex defect in Landau-de Gennes theory of nematic liquid crystals. C. R. Acad. Sci. Paris Ser. I 351, 533\u2013535 (2013)","journal-title":"C. R. Acad. Sci. Paris Ser. I"},{"key":"9271_CR19","unstructured":"Ignat, R., Nguyen, L., Slastikov, V., Zarnescu, A.: Instability of point defects in a two-dimensional nematic liquid crystal model, submitted"},{"key":"9271_CR20","volume-title":"Points, Lines and Walls in Liquid Crystals, Magnetic Systems and Various Ordered Media","author":"M Kl\u00e9man","year":"1983","unstructured":"Kl\u00e9man, M.: Points, Lines and Walls in Liquid Crystals, Magnetic Systems and Various Ordered Media. Wiley, New York (1983)"},{"issue":"25\u201326","key":"9271_CR21","doi-asserted-by":"crossref","first-page":"4117","DOI":"10.1080\/14786430600593016","volume":"86","author":"M Kl\u00e9man","year":"2006","unstructured":"Kl\u00e9man, M., Lavrentovich, O.D.: Topological point defects in nematic liquid crystals. Philos. Mag. 86(25\u201326), 4117\u20134137 (2006)","journal-title":"Philos. Mag."},{"key":"9271_CR22","doi-asserted-by":"crossref","first-page":"1858","DOI":"10.1103\/PhysRevE.60.1858","volume":"60","author":"S Kralj","year":"1999","unstructured":"Kralj, S., Virga, E.G., Zumer, S.: Biaxial torus around nematic point defects. Phys. Rev. E 60, 1858 (1999)","journal-title":"Phys. Rev. E"},{"issue":"1","key":"9271_CR23","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1007\/s00205-009-0249-2","volume":"196","author":"A Majumdar","year":"2010","unstructured":"Majumdar, A., Zarnescu, A.: Landau-de Gennes theory of nematic liquid crystals: the Oseen\u2013Frank limit and beyond. Arch. Ration. Mech. Anal. 196(1), 227\u2013280 (2010)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"9271_CR24","doi-asserted-by":"crossref","first-page":"6694","DOI":"10.1103\/PhysRevE.62.6694","volume":"62","author":"S Mkaddem","year":"2000","unstructured":"Mkaddem, S., Gartland, E.C.: Fine structure of defects in radial nematic droplets. Phys. Rev. E 62, 6694\u20136705 (2000)","journal-title":"Phys. Rev. E"},{"issue":"1","key":"9271_CR25","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/s00526-012-0522-3","volume":"47","author":"L Nguyen","year":"2013","unstructured":"Nguyen, L., Zarnescu, A.: Refined approximation for a class of Landau-de Gennes energy minimizers. Calc. Var. Partial Differ. Equ. 47(1), 383\u2013432 (2013)","journal-title":"Calc. Var. Partial Differ. Equ."},{"key":"9271_CR26","doi-asserted-by":"crossref","unstructured":"Shirokoff, D., Choksi, R., Nave, J.-C.: Sufficient conditions for global minimality of metastable states in a class of non-convex functionals: a simple approach via quadratic lower bounds, J. Nonlinear Sci. (2015). doi: 10.1007\/s00332-015-9234-0","DOI":"10.1007\/s00332-015-9234-0"},{"key":"9271_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-2867-2","volume-title":"Variational Theories for Liquid Crystals","author":"EG Virga","year":"1994","unstructured":"Virga, E.G.: Variational Theories for Liquid Crystals. Chapman and Hall, London (1994)"}],"container-title":["Journal of Nonlinear Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-015-9271-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00332-015-9271-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-015-9271-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,29]],"date-time":"2019-08-29T15:30:59Z","timestamp":1567092659000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00332-015-9271-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8,25]]},"references-count":27,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,2]]}},"alternative-id":["9271"],"URL":"https:\/\/doi.org\/10.1007\/s00332-015-9271-8","relation":{},"ISSN":["0938-8974","1432-1467"],"issn-type":[{"value":"0938-8974","type":"print"},{"value":"1432-1467","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,8,25]]}}}