P. G. Fern'andez-Dalgo

most citedExistence of infinite-energy and discretely self-similar global weak solutions for 3D MHD equations

5 citations · 5 across the 2 of their papers we have counts for

collaborators

6 papers

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

On the use of the Riesz transforms to determine the pressure term in the incompressible Navier-Stokes equations on the whole space

Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Pedro G. Fernández-Dalgo

We give some conditions under which the pressure term in the incompressible Navier-Stokes equations on the entire $d$ -dimensional Euclidean space is determined by the formula $\dis…

math.AP2020

Weak-strong uniqueness in weighted $L^{2}$ spaces and weak suitable solutions in local Morrey spaces for the MHD equations

Pedro Gabriel Fernández-Dalgo, Oscar Jarrín

We consider here the magneto-hydrodynamics (MHD) equations on the whole space. For the 3D case, in the setting of the weighted $L^{2}$ spaces we obtain a weak-strong uniqueness crite…

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.

math.AP2019★ 5 cited

Existence of infinite-energy and discretely self-similar global weak solutions for 3D MHD equations

Pedro Gabriel Fernández-Dalgo, Oscar Jarrín

This paper deals with the existence of global weak solutions for 3D MHD equations when the initial data belong to the weighted spaces $L_{w_{γ}}^{2}$ , with $w_{γ} (x) = (1 + ∣ x ∣)^{- γ}$ and $…

math.AP2019

Weak solutions for Navier--Stokes equations with initial data in weighted $L^{2}$ 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 $γ$ , where w $γ$ (x) = (1 + |x|) -- $γ$ and 0 < $…

Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl

On the use of the Riesz transforms to determine the pressure term in the incompressible Navier-Stokes equations on the whole space

Weak-strong uniqueness in weighted L2 spaces and weak suitable solutions in local Morrey spaces for the MHD equations

Characterisation of the pressure term in the incompressible Navier-Stokes equations on the whole space

Existence of infinite-energy and discretely self-similar global weak solutions for 3D MHD equations

Weak solutions for Navier--Stokes equations with initial data in weighted L2 spaces

Weak-strong uniqueness in weighted $L^{2}$ spaces and weak suitable solutions in local Morrey spaces for the MHD equations

Weak solutions for Navier--Stokes equations with initial data in weighted $L^{2}$ spaces