4 papers
Feeding a Kerr black hole with quantized vortices
Shilong Jin, Xiaofei Zhao, Yong Zhang +1
By solving a nonlinear Klein-Gordon equation in Kerr geometry, we uncover new phenomena and key characteristics of quantized vortices in quantum fluids near a Kerr black hole. The…
Toward fast, accurate and robust AI prediction of ground states in rotating BEC
Zhizhong Kong, Jerry Zhijian Yang, Cheng Yuan +1
We propose an unsupervised deep learning approach for computing the ground state (GS) of rotating Bose-Einstein condensation. To minimize the energy under a mass constraint, our ap…
Arbitrary High-Order Maximum Principle-Preserving and Energy Dissipating Schemes for Gradient Flows
Qing Cheng, Tingfeng Wang, Xiaofei Zhao
For gradient flows, the existing structure-preserving schemes are difficult to achieve arbitrary high-order accuracy in time while preserving maximum-principle (MBP) and energy dis…
Improved scalar auxiliary variable schemes for original energy stability of gradient flows
RUi Chen, Tingfeng Wang, Xiaofei Zhao
Scalar auxiliary variable (SAV) methods are a class of linear schemes for solving gradient flows that are known for the stability of a `modified' energy. In this paper, we propose…