13 citations · 17 across the 7 of their papers we have counts for
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A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations
Pierre Gilles Lemarié-Rieusset
We extend Barker's weak-strong uniqueness results for the Navier--Stokes equations and consider a criterion involving Besov spaces and weighted Lebesgue spaces.
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…
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.
Real variable methods in harmonic analysis and Navier-Stokes equations
Pierre Gilles Lemarié-Rieusset
Real variable methods in harmonic analysis were developed throughout the works of E.M. Stein. They turn out to be a powerful tool for the study of non-linear PDEs. We illustrate th…
Weak solutions for Navier--Stokes equations with initial data in weighted spaces
Pedro Gabriel Fernández-Dalgo, Pierre Gilles Lemarié-Rieusset
We show the existence of global weak solutions of the 3D Navier-Stokes equations with initial velocity in the weighted spaces L 2 w , where w (x) = (1 + |x|) -- and 0 < $…
Interpolation, extrapolation, Morrey spaces and local energy control for the Navier--Stokes equations
Pierre Gilles Lemarié-Rieusset
Barker recently proved new weak-strong uniqueness results for the Navier-Stokes equations based on a criterion involving Besov spaces and a proof through interpolation between Beso…