On the Relation between Very Weak and Leray-Hopf Solutions to Navier-Stokes Equations
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🧮 math.AP
keywords
solutionsequationsleray-hopfnavier-stokesveryweakcauchydata
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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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