Solutions with vortices of a semi-stiff boundary value problem for the Ginzburg–Landau equation
Solutions with vortices of a semi-stiff boundary value problem for the Ginzburg–Landau equation
We study solutions of the 2D Ginzburg–Landau equation -Δ u + \frac 1 {ε^2} u (|u|^2 - 1) = 0 subject to “semi-stiff” boundary conditions: Dirichlet conditions for the modulus, |u|=1 , and homogeneous Neumann conditions for the phase. The principal result of this work shows that there are stable …