Construction of an artificial neural network for solving the incompressible Navier-Stokes equations

DOI10.1134/s1064562424702156MaRDI QIDQ6634047

V. A. Galkin, V. B. Betelin

Publication date: 6 November 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsincompressible fluidartificial neural networksapproximation of solutionsaxisymmetric vortex flows

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Navier-Stokes equations for incompressible viscous fluids (76D05) Viscous vortex flows (76D17) Solutions to PDEs in closed form (35C05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Axially symmetric solutions to PDEs (35B07)

Cites Work

• Finite groups having the same prime graph as the group \(\Aut(J_2)\).
• On a class of exact solutions to the incompressible Navier-Stokes system in a ball and a spherical layer

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