GLOBALLY SMOOTH SOLUTION AND BLOW-UP PHENOMENON FOR A NONLINEARLY COUPLED SCHRODINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES

摘要

In this paper, we study the nonlinearly coupled Schrodinger equations for atomic Bose-Einstein condensates. By the Galerkin method and a priori estimates, the global existence of a smooth solution is obtained. Under some assumptions of the coefficients and p, the blow-up theorem is established.