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Some closed form solutions to the Navier Stokes equations

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arxiv physics/0102002 v1 pith:7QKFOX7M submitted 2001-02-01 physics.flu-dyn

classification physics.flu-dyn
keywords solutionsclosedequationsformalgorithmbifurcationsclassexact
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An algorithm for generating a class of closed form solutions to the Navier-Stokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations, flow reversal, and hysteresis.

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  1. The BdryMat\'ern GP: Reliable incorporation of boundary information on irregular domains for Gaussian process modeling

    stat.ME 2025-07 conditional novelty 6.0 of 10

    A new Gaussian process kernel, derived from a stochastic PDE with boundary conditions, enforces Dirichlet, Neumann, or Robin boundaries on irregular domains with smoothness control and provable approximation error.

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