Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2014

Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals

Radu Ignat
Valeriy Slastikov
  • Fonction : Auteur
Arghir Zarnescu
  • Fonction : Auteur

Résumé

We study a singular nonlinear ordinary differential equation on intervals $[0,R)$ with $R\le +\infty$, motivated by the Ginzburg-Landau models in superconductivity and Landau-de Gennes models in liquid crystals. We prove existence and uniqueness of positive solutions under general assumptions on the nonlinearity. Further uniqueness results for sign-changing solutions are obtained for a physically relevant class of nonlinearities. Moreover, we prove a number of fine qualitative properties of the solution that are important for the study of energetic stability.

Dates et versions

hal-01673414 , version 1 (29-12-2017)

Identifiants

Citer

Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir Zarnescu. Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals. SIAM Journal on Mathematical Analysis, 2014, ⟨10.1137/130948598⟩. ⟨hal-01673414⟩
82 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More