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arXiv · 1809.03991

On the Relation between Very Weak and Leray-Hopf Solutions to Navier-Stokes Equations

Giovanni P. Galdi
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Abstract

We prove a general result that implies that very weak solutions to the Cauchy problem for the Navier-Stokes equations must be, in fact, Leray-Hopf solutions if only their initial data are (solenoidal) with finite kinetic energy.

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Giovanni P. Galdi. 2018-09-11. On the Relation between Very Weak and Leray-Hopf Solutions to Navier-Stokes Equations. https://arxiv.org/abs/1809.03991

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