INVISCID LIMIT BEHAVIOR OF SOLUTION FOR THE MULTI-DIMENSIONAL DERIVATIVE COMPLEX GINZBURG-LANDAU EQUATION

摘要

The inviscid limit behavior of solution is considered for the multidimensional derivative complex Ginzburg-Landau(DCGL) equation. For small initial data, it is proved that for some T >0, solution of the DCGL equation converges to the solution of the derivative nonlinear Schrodinger (DNLS) equation in natural space C([0; T];H~s)(s ≥ n/2) if some coefficients tend to zero.