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 Barker, T., Global weak Besov solution s of the Navier-Stokes equa- tions and applications
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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.