Communications in Mathematical Sciences
Volume 14 (2016)
Globally smooth solution and blow-up phenomenon for a nonlinearly coupled Schrödinger system in atomic Bose–Einstein condensates
Pages: 1005 – 1021
In this paper, we study the nonlinearly coupled Schrödinger equations for atomic Bose–Einstein condensates. By the Galërkin 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.
Galërkin method, locally smooth solution, globally smooth solution, <i>a priori</i> estimates, blow-up solution
2010 Mathematics Subject Classification