2 papers
cs.LG2023
Energy stable neural network for gradient flow equations
Yue Wu, Tianyu Jin, Chuqi Chen +4
We propose an energy stable network (EStable-Net) for solving gradient flow equations. The EStable-Net enables decreasing of a discrete energy along the neural network, which is co…
math.AP2021
Existence, uniqueness, and energy scaling of 2+1 dimensional continuum model for stepped epitaxial surfaces with elastic effects
Ganghua Fan, Tao Luo, Yang Xiang
We study the 2+1 dimensional continuum model for the evolution of stepped epitaxial surface under long-range elastic interaction proposed by Xu and Xiang (SIAM J. Appl. Math. 69, 1…