数学科学系

Department of Mathematical Sciences

Ground states and dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

报告题目Ground states and dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

 

报告人 Professor Weizhu Bao (Department of Mathematics, National University of Singapore)

        

时间2013613(星期四)1600-1700

 

地点:理科楼数学系A304

 

摘要: In this talk, I begin with a brief derivation of the nonlinear Schrodinger/Gross-Pitaevskii equations (NLSE/GPE) from Bose-Einstein condensates (BEC) and/or nonlinear optics. Then I will present some mathematical results on the existence and uniqueness as well as non-existence of the ground states of NLSE/GPE under different external potentials and parameter regimes. Dynamical properties of NLSE/GPE are then discussed, which include conservation laws, soliton solutions, well-posedness and/or finite time blowup. Efficient and accurate numerical methods

will be presented for computing numerically the ground states and dynamics. Extension to NLSE/GPE with an angular momentum rotation term and/or non-local dipole-dipole interaction will be presented. Finally, applications to collapse and explosion of BEC, quantum transport and quantized vortex interaction will be investigated.

 

联系人:邹文明