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.
Uniqueness of solutions to to Navier Stokes equation with small initial data in $L^{3,\infty}(R^3)$
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abstract
In this short note we address a problem raised in [21], concerning the uniqueness of solutions to Naiver Stokes equation with small initial data in $L^{3,\infty}(R^3)$, the Lorentz space. We prove uniqueness for such initial data.
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math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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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.