Josephson junction devices are formed by sandwiching a thin layer of normal (non-superconducting) material between layers of superconducting material. We consider various limiting cases for the model of the junction device based on the Ginzburg-Landau equations. Examples include a model for large values of the Ginzburg-Landau parameter, k, in the high field regime and a model for a thin normal layer. Convergence analysis for the new models are established and numerical simulations are presented.