The solution operator of the 2D incompressible Navier-Stokes initial value problem is uniformly computable on a computable local time interval in the Type-2 Theory of Effectivity.
Archive for Rational Mechanics and Analysis 89 (3), 267–281 (1985)
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Computability of the Solutions to Navier-Stokes Equations via Recursive Approximation
The solution operator of the 2D incompressible Navier-Stokes initial value problem is uniformly computable on a computable local time interval in the Type-2 Theory of Effectivity.