3 papers
physics.flu-dyn2024
Fluid-network relations: decay laws meet with spatial self-similarity, scale-invariance, and control scaling
Yang Tian, Pei Sun, Yizhou Xu
Diverse implicit structures of fluids are discovered lately, providing opportunities to study the physics of fluids applying network analysis. Although considerable works devote to…
cond-mat.stat-mech2024
Simplex path integral and simplex renormalization group for high-order interactions
Aohua Cheng, Yunhui Xu, Pei Sun +1
Modern theories of phase transitions and scale-invariance are rooted in path integral formulation and renormalization group (RG). Despite the applicability of these approaches on s…
cs.LG2024
Koopman neural operator as a mesh-free solver of non-linear partial differential equations
Wei Xiong, Xiaomeng Huang, Ziyang Zhang +3
The lacking of analytic solutions of diverse partial differential equations (PDEs) gives birth to a series of computational techniques for numerical solutions. Although numerous la…