Nonexistence of Permanent Currents in Convex Planar Samples

Recent works have demonstrated the existence of nontrivial stable critical points of the Ginzburg--Landau energy $$ (\Psi,A)\to\int_{\Omega} \frac{1}{2}|(\nabla-iA)\Psi|^{2}+\frac{\kappa^{2} }{4} (...