The authors establish global existence, regularity, and uniqueness results for local energy solutions to Navier-Stokes with initial data small in truncated Morrey-type quantities, including the critical L2 Morrey space, plus corollaries in Lebesgue, Lorentz, and other spaces.
and Tsai, T.-P., Global Navier-Stokes flows for n on-decaying initial data with slowly decaying oscillation, preprint, arXiv:1811.0 3249
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Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations
The authors establish global existence, regularity, and uniqueness results for local energy solutions to Navier-Stokes with initial data small in truncated Morrey-type quantities, including the critical L2 Morrey space, plus corollaries in Lebesgue, Lorentz, and other spaces.