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math.AP2013★ 25 cited
Bifurcation analysis in a frustrated nematic cell
Xavier Lamy
Using Landau-de Gennes theory to describe nematic order, we study a frustrated cell consisting of nematic liquid crystal confined between two parallel plates. We prove the uniquene…
math.AP2013
Existence of critical points with semi-stiff boundary conditions for singular perturbation problems in simply connected planar domains
Xavier Lamy, Petru Mironescu
Let be a smooth bounded simply connected domain in . We investigate the existence of critical points of the energy $E_\varepsilon (u)=1/2\int_Ω|\nabla u|^2+1/(4\v…