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Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals
journal contribution
posted on 2023-06-08, 20:19 authored by Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuWe study a singular nonlinear ordinary differential equation on intervals {[}0, R) with R <= +infinity, 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.
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Publication status
- Published
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- Published version
Journal
SIAM Journal on Mathematical AnalysisISSN
0036-1410Publisher
Society for Industrial and Applied MathematicsExternal DOI
Issue
5Volume
46Page range
3390-3425Place of publication
{3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA}Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2015-03-13First Open Access (FOA) Date
2015-03-13First Compliant Deposit (FCD) Date
2015-03-13Usage metrics
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