From the 1 of 4 linked papers with an AI index.
4 papers
Global well-posedness of strong solutions to a model for the morning glory cloud
Jinkai Li, Yuan Ma, Dong Wang
The paper proves that a strong solution to a nonlinear PDE model of morning glory cloud dynamics exists globally and uniquely under certain regularity assumptions on the initial da…
A Fast and Accurate Solver for the Fractional Fokker-Planck Equation with Dirac-Delta Initial Conditions
Qihao Ye, Xiaochuan Tian, Dong Wang
The classical Fokker-Planck equation (FPE) is a key tool in physics for describing systems influenced by drag forces and Gaussian noise, with applications spanning multiple fields.…
An Efficient Unconditionally Energy-Stable Numerical Scheme for Bose--Einstein Condensate
Jing Guo, Cheng Wang, Dong Wang
A numerical framework is proposed and analyzed for computing the ground state of Bose--Einstein condensates. A gradient flow approach is developed, incorporating both a Lagrange mu…
Efficient and stable diffusion generated methods for ground state computation in Bose--Einstein condensates
Jing Guo, Yongyong Cai, Dong Wang
This paper investigates numerical methods for approximating the ground state of Bose--Einstein condensates (BECs) by introducing two relaxed formulations of the Gross--Pitaevskii e…