The existence of global solution and their weak limit of generalized Ginzburg-Landau equations in two dimensions

摘要

By the uniform a priori estimate of solution about parameters, we prove the existence of global solution and inviscid limit to a generalized Ginzburg-Landau equations in two dimensions. We also prove that the solution to the Ginzburg-Landau equationsconverges to the weak solution to the derivative nonlinear Schrodinger equations.