11 citations · 12 across the 6 of their papers we have counts for
7 papers
Global well-posedness of strong solutions to a model for the morning glory cloud
Jinkai Li, Yuan Ma, Dong Wang
In this paper, we investigate the global well-posedness of strong solution to a model recently derived by Constantin-Johnson \cite{CaJo} which describes the nonlinear wave propagat…
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…
Computing optimal partition problems via Lagrange multiplier approach
Qing Cheng, Jing Guo, Dong Wang
In this paper, we consider numerical approximations for the optimal partition problem using Lagrange multipliers. By rewriting it into constrained gradient flows, three and four st…
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to initial data
Chongsheng Cao, Jinkai Li, Edriss S. Titi +1
In this paper, we consider the initial-boundary value problem to the three-dimensional primitive equations for the oceanic and atmospheric dynamics with only horizontal eddy viscos…
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.…
Painleve analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics
Dong Wang, Yi-Tian Gao, Xin Yu +2
In this paper, we investigate a generalized (2+1)-dimensional Hirota-Satsuma-Ito (HSI) equation in fluid mechanics. Via the Painleve analysis, we find that the HSI equation is Pain…