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math.OC2024
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…
math.AP2024★ 1 cited
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…
math.NA2024
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.…