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

122   0   0.0 ( 0 )
 Added by Livio Pizzocchero
 Publication date 2015
  fields Physics
and research's language is English
 Authors Carlo Morosi




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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].

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