28 citations · 125 across the 24 of their papers we have counts for
25 papers
On the constants for some fractional Gagliardo-Nirenberg and Sobolev inequalities
Carlo Morosi, Livio Pizzocchero
We consider the inequalities of Gagliardo-Nirenberg and Sobolev in R^d, formulated in terms of the Laplacian Delta and of the fractional powers D^n := (-Delta)^(n/2) with real n >=…
New results on the constants in some inequalities for the Navier-Stokes quadratic nonlinearity
Carlo Morosi, Mario Pernici, Livio Pizzocchero
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 equat…
Smooth solutions of the Euler and Navier-Stokes equations from the a posteriori analysis of approximate solutions
Carlo Morosi, Livio Pizzocchero
The main result of [C. Morosi and L. Pizzocchero, Nonlinear Analysis, 2012] is presented in a variant, based on a C^infinity formulation of the Cauchy problem; in this approach, th…
Large order Reynolds expansions for the Navier-Stokes equations
Carlo Morosi, Mario Pernici, Livio Pizzocchero
We consider the Cauchy problem for the incompressible homogeneous Navier-Stokes (NS) equations on a d-dimensional torus, in the C^infinity formulation described, e.g., in [25]. In…
A posteriori estimates for Euler and Navier-Stokes equations
Carlo Morosi, Mario Pernici, Livio Pizzocchero
The first two sections of this work review the framework of [6] for approximate solutions of the incompressible Euler or Navier-Stokes (NS) equations on a torus T^d, in a Sobolev s…
On the Reynolds number expansion for the Navier-Stokes equations
Carlo Morosi, Livio Pizzocchero
In a previous paper of ours [Nonlinear Anal. 2012] we have considered the incompressible Navier-Stokes (NS) equations on a d-dimensional torus T^d, in the functional setting of the…