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

Carlo Morosi, Mario Pernici and Livio Pizzocchero

Applied Mathematics and Computation, 2017, vol. 308, issue C, 54-72

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 (2013) [6]).

Keywords: Navier–Stokes equations; Inequalities; Sobolev spaces (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:308:y:2017:i:c:p:54-72

DOI: 10.1016/j.amc.2017.02.054

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