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Lower bound on the radius of analyticity for solutions of Navier-Stokes

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TUR - Mathematical aspects of turbulence: where do we stand?

In 2011, Z. Lei and F. Lin gave a proof of existence of a global mild solution of the three-dimensional Navier-Stokes equations in scale-invariant function spaces based on the Wiener algebra.  An alternative proof of existence of these solutions was developed by H. Bae in 2017, and this new proof allowed for an estimate of the radius of analyticity of the solutions at positive times.  We adapt the Bae proof to prove existence of the Lei-Lin solution in the spatially periodic setting, finding an improved bound for the radius of analyticity in this case

This talk is part of the Isaac Newton Institute Seminar Series series.

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