Computer-Assisted Solution Existence Proofs for Navier-Stokes Equations in 3D Domains

Explore computer-assisted methods for proving the existence of solutions to Navier-Stokes equations in three-dimensional domains through this 52-minute conference talk presented at ICBS2025 by BIMSA. Delve into advanced mathematical techniques that combine computational approaches with rigorous theoretical frameworks to establish solution existence proofs for one of the most challenging problems in fluid dynamics and partial differential equations. Learn how modern computational tools can be leveraged to provide mathematically rigorous proofs for the existence of solutions to the Navier-Stokes equations, which govern the motion of viscous fluids and represent one of the Clay Institute's Millennium Prize Problems. Gain insights into the intersection of computational mathematics, numerical analysis, and theoretical fluid dynamics as applied to three-dimensional flow problems.