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Turing complete Navier-Stokes steady states via cosymplectic geometry

Dyhr, Søren et al.
arXiv (All) · Papers
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analysis-of-pdescomputational-complexitydifferential-geometrydynamical-systemssymplectic-geometry
In this article, we construct stationary solutions to the Navier-Stokes equations on certain Riemannian $3$-manifolds that exhibit Turing completeness, in the sense that they are capable of performing universal computation. This universality arises on manifolds admitting nonvanishing harmonic 1-form
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