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

Published 2 Nov 2015 in math.AP, math-ph, and math.MP | (1511.00533v2)

Abstract: 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 Td. 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].

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