Extinction phenomenon for Spinor Ginzburg-Landau equations in three dimensions

Recent papers in physics literature have introduced coupled Ginzburg-Landau models for complex vector-valued order parameters in order to account for ferromagnetic or antiferromagnetic effects in high-temperature superconductors. In this paper, we study the spatial behavior of interacting components of coupled Ginzburg-Landau equations. We prove that the interspecies interaction leads to extinction in three dimensions.