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arXiv:1511.00533 [math.AP]AbstractReferencesReviewsResources

New results on the constants in some inequalities for the Navier-Stokes quadratic nonlinearity

Carlo Morosi, Mario Pernici, Livio Pizzocchero

Published 2015-11-02Version 1

We give fully explicit upper and lower bounds for the constants in two known inequalities related to the quadratic nonlinearity of the incompressible (Euler or) Navier-Stokes equations on the torus T^d. These inequalities are "tame" generalizations (in the sense of Nash-Moser) of the ones analyzed in the previous works [Morosi and Pizzocchero: CPAA 2012, Appl.Math.Lett. 2013].

Comments: Author's note. Some overlaps with our previous works arXiv:1405.3421, arXiv:1402.0487, arXiv:1310.5642, arXiv:1304.2972, arXiv:1203.6865, arXiv:1104.3832, arXiv:1009.2051, arXiv:1007.4412, arXiv:0909.3707, arXiv:0709.1670. These overlaps aim to make the paper self-contained and do not involve the main results
Categories: math.AP, math-ph, math.MP
Subjects: 76D05, 26D10, 46E35
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