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math.AP2024
Lie Symmetry Net: Preserving Conservation Laws in Modelling Financial Market Dynamics via Differential Equations
Xuelian Jiang, Tongtian Zhu, Yingxiang Xu +3
This paper employs a novel Lie symmetries-based framework to model the intrinsic symmetries within financial market. Specifically, we introduce Lie symmetry net (LSN), which charac…
math.AP2021
Global Existence for the unstable Cahn-Hilliard equation in 2D with a Shear Flow
Bingyang Hu, Dinghua Xu, Yeyu Zhang
In this paper, we study the advective unstable Cahn--Hilliard equation on with shear flow: \begin{equation*} \begin{cases} u_t+Av_1(y) \partial_x u+\varepsilon Δ^2 u=…