9 citations · 20 across the 17 of their papers we have counts for
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math.AP2017
Minimal heteroclinics for a class of fourth order O.D.E. systems
Panayotis Smyrnelis
We prove the existence of minimal heteroclinic orbits for a class of fourth order O.D.E. systems with variational structure. In our general set-up, the set of equilibria of these s…
math.AP2017★ 9 cited
Symmetry breaking and restoration in the Ginzburg-Landau model of nematic liquid crystals
Marcel Clerc, Michał Kowalczyk, Panayotis Smyrnelis
In this paper we study qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals n…
math-ph2017★ 1 cited
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
Li Chen, Panayotis Smyrnelis, Israel Michael Sigal
We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per a fundamental cell. We also r…