Navier-Stokes equations

The Navier-Stokes equations describe the motion of fluid substances and are used to evaluate the performance of models in predicting nonlinear, spatiotemporal dynamics in fluid dynamics.

Papers using Navier-Stokes equations (11)

Neural Physics: Using AI Libraries to Develop Physics-Based Solvers for Incompressible Computational Fluid Dynamics2024 · 7 citesSeparated-Variable Spectral Neural Networks: A Physics-Informed Learning Approach for High-Frequency PDEs2025 · 2 citesBanach neural operator for Navier-Stokes equations2025 · 1 citesEnforcing boundary conditions for physics-informed neural operators2025Koopman neural operator as a mesh-free solver of non-linear partial differential equations2023 · 19 citesEfficient physics-informed neural networks using hash encoding2023 · 3 citesEnhancing Solutions for Complex PDEs: Introducing Complementary Convolution and Equivariant Attention in Fourier Neural Operators2023 · 2 citesSineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations2024 · 1 citesTemporal Consistency Loss for Physics-Informed Neural Networks2023Learning Efficient Surrogate Dynamic Models with Graph Spline Networks2023Advancing Generalization in PINNs through Latent-Space Representations2024