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    AI may have solved a major fluid-flow math puzzle, stirring controversy

    Science News says OpenAI put thousands of agents to work on the Navier–Stokes equations, which describe how fluids flow.

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    2 Sources, 32d ago, first seen 32d ago

    TLDR

    Science News reports that AI may have solved a long-standing puzzle about whether the Navier–Stokes equations can break down, with the apparent feat drawing controversy. A creator sharing a fluid-flow visualization describes OpenAI’s proposed proof as involving a specially forced flow whose speed grows without bound in finite time while total energy stays finite. The creator notes that their vortex-ring demonstration uses the same equations but does not develop that singularity.

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    2 Sources, first seen 32d ago

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    Combined views

    25.1K

    2 Sources, first seen 32d ago

    70 likes14 comments9 saves9 reposts

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    2 Sources

    Science News@ScienceNewsThe equations behind flowing fluids are the subject of one of the most famous puzzles in mathematics. AI seems to have solved it, even as the feat came with a flood of controversy. https://www.sciencenews.org/article/ai-math-puzzle-navier-stokes-openai32d
    COGO Data@COGODataInspired by OpenAI’s proposed solution to the Navier–Stokes problem, a Millennium Prize Problem, we created a visualisation of the fluid dynamics showcasing the mathematics in action. What happens when two vortex rings meet? Orange and grey distinguish the two rings. The translucent surfaces follow the computed fluid motion, revealing how each ring influences the other. They deform, spread and redirect the surrounding fluid. Now imagine a swirl spinning faster and faster, with its most intense motion concentrated into an ever-smaller region. OpenAI’s proposed proof describes a specially forced flow where speed grows without bound in a finite time. Yet total energy stays finite because the region moving that fast becomes sufficiently small. Our vortex rings don’t develop that singularity, but they demonstrate the same equations behind this extraordinary mathematical finding. See the article: https://openai.com/index/navier-stokes-solution/29d
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    2 Sources

    Science News@ScienceNewsThe equations behind flowing fluids are the subject of one of the most famous puzzles in mathematics. AI seems to have solved it, even as the feat came with a flood of controversy. https://www.sciencenews.org/article/ai-math-puzzle-navier-stokes-openai32d
    COGO Data@COGODataInspired by OpenAI’s proposed solution to the Navier–Stokes problem, a Millennium Prize Problem, we created a visualisation of the fluid dynamics showcasing the mathematics in action. What happens when two vortex rings meet? Orange and grey distinguish the two rings. The translucent surfaces follow the computed fluid motion, revealing how each ring influences the other. They deform, spread and redirect the surrounding fluid. Now imagine a swirl spinning faster and faster, with its most intense motion concentrated into an ever-smaller region. OpenAI’s proposed proof describes a specially forced flow where speed grows without bound in a finite time. Yet total energy stays finite because the region moving that fast becomes sufficiently small. Our vortex rings don’t develop that singularity, but they demonstrate the same equations behind this extraordinary mathematical finding. See the article: https://openai.com/index/navier-stokes-solution/29d
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