An inequality for solutions of the Navier-Stokes equations in Rn

2017/07/01 by Thomas Hagstrom, Jens Lorenz, Hagstrom, Thomas +5
Mathematics · #35 (Partial Differential Equations) #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35

paper · pdf · doi:10.48550/arxiv.1707.00094

This inequality was discovered by the authors in March 2016. A number of important results previously obtained by other authors regarding the large time decay of solution derivatives can now be seen as simple consequences of it (in the case n <= 4)

arxiv created 2017/07/01 · arxiv updated 2017/07/04

Abstract

We obtain a new inequality that holds for general Leray solutions of the incompressible Navier-Stokes equations in Rn (n <= 4). This recovers important results previously obtained by other authors regarding the time decay of solution derivatives (of arbitrary order).

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