4 papers
SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs
Yuantu Zhu, Zheyan Li, Dai Shi +8
Stochastic Partial Differential Equations (SPDEs) driven by random noise play a central role in modeling physical processes with rough spatio-temporal dynamics, such as turbulence…
Riemannian Neural Geodesic Interpolant
Jiawen Wu, Bingguang Chen, Yuyi Zhou +3
Stochastic interpolants are efficient generative models that bridge two arbitrary probability density functions in finite time, enabling flexible generation from the source to the…
Deep Random Vortex Method for Simulation and Inference of Navier-Stokes Equations
Rui Zhang, Peiyan Hu, Qi Meng +5
Navier-Stokes equations are significant partial differential equations that describe the motion of fluids such as liquids and air. Due to the importance of Navier-Stokes equations,…
Moderate deviation principle for the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity
Bingguang Chen
In this paper, we prove a central limit theorem and establish a moderate deviation principle for the the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosi…