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Discovering new solutions to century-old problems in fluid dynamics
In a new paper, we introduce an entirely new family of mathematical blow ups to some of the most complex equations that describe fluid motion. Our approach presents a new way in which...
Our approach presents a new way to leverage AI techniques to tackle longstanding challenges in mathematics, physics and engineering that demand unprecedented accuracy and interpretability. Line chart with our results showing a surprisingly clear pattern in lambda (λ), a key parameter representing the speed of the blow up, as we found increasingly unstable solutions. At the same time, we developed a high-precision framework that pushes PINNs to near-machine precision, enabling the level of accuracy required for rigorous computer-assisted proofs.
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