On a system of multi-component Ginzburg-Landau vortices

Abstract

We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.

Keywords

• n-component ginzburg-landau equations
• semi-local gauge field model
• asymptotic behavior of solutions
• 35b40
• 35j60
• 35q60