Browsing by Author "Ignat, Radu"

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    Instability of point defects in a two-dimensional nematic liquid crystal model
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2015) Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
    We study a class of symmetric critical points in a variational 2D Landau - de Gennes model where the state of nematic liquid crystals is described by symmetric traceless 3×3 matrices. These critical points play the role of topological point defects carrying a degree k 2 for a nonzero integer k. We prove existence and study the qualitative behavior of these symmetric solutions. Our main result is the instability of critical points when |k| 2.