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math.AP2020
Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl
Pedro Gabriel Fernández-Dalgo, Pierre Gilles Lemarié-Rieusset
We consider a family of weights which permit to generalize the Leray procedure to obtain weak suitable solutions of the 3D incom-pressible Navier-Stokes equations with initial data…
math.AP2020
Characterisation of the pressure term in the incompressible Navier-Stokes equations on the whole space
Pierre Gilles Lemarié-Rieusset, Pedro Gabriel Fernández-Dalgo
We characterise the pressure term in the incompressible 2D and 3D Navier-Stokes equations for solutions defined on the whole space.