Date/Time : 25 Oct 2023 16:00
Venue : S16 #03-06
Speaker : Yin Jianyuan, National University of Singapore

Rotational Bose-Einstein condensates can exhibit quantized vortices as topological excitations. In this study, the ground and excited states of the two-dimensional rotational Bose-Einstein condensates are systematically studied by calculating the stationary points of the Gross-Pitaevskii energy functional with the constraint. A solution landscape method is introduced with the constrained high-index saddle dynamics. Various excited states and their connections at different rotational frequencies are revealed with solution landscapes. Four excitation mechanisms are identified: vortex addition, rearrangement, merging, and splitting. We demonstrate changes in the ground state with increasing rotational frequencies and decipher the stability evolution of ground states.

Add to calendar :

Date/Time : 16 Oct 2023 16:00
Venue : S16 #04-35
Speaker : Lin Yi-Hsuan, National Yang Ming Chiao Tung University

We investigate inverse problems in the determination of leading coefficients for nonlocal parabolic operators, by knowing the corresponding Cauchy data in the exterior space-time domain. The key contribution is that we reduce the nonlocal parabolic inverse problems to the corresponding local inverse problems by using the extension problem for nonlocal parabolic equations. This talk is based on joint works with Ching-Lung Lin and Gunther Uhlmann.

Add to calendar :