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.
Self-similar solutions to the Navier-Stokes equations: a survey of recent results
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abstract
We survey the various constructions of forward self-similar solutions (and generalizations of self-similar solutions) to the Navier-Stokes equations. We also include and prove an extension of a recent result from [7].
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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.