Journal of the
Korean Mathematical Society JKMS

In this paper we study some asymptotics for solutions of the Ginzburg-Landau equations with Dirichlet boundary conditions. We consider the solutions $(u_\epsilon, A_\epsilon)$ which minimize the Ginzburg-Landau energy functional $ E_\epsilon (u,A)$. We show that the solutions $(u_\epsilon, A_\epsilon)$ converge to some $(u_*,A_*)$ in various norms as the coupling parameter $\epsilon \to 0$.

Keywords: Ginzburg-Landau equations, asymptotic behavior

MSC numbers: 35B40, 35J65