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 Seregin, G., Weak solutions to the Cauch y problem for the Navier- Stokes equations satisfying the local energy inequality
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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.