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20172021
most citedExistence of infinite-energy and discretely self-similar global weak solutions for 3D MHD equations

5 citations · 7 across the 5 of their papers we have counts for

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math.AP2021

On the long-time behavior for a damped Navier-Stokes-Bardina model

Manuel Fernando Cortez, Oscar Jarrín

In this paper, we consider a damped Navier-Stokes-Bardina model posed on the whole three-dimensional. These equations have an important physical motivation and they arise from some…

math.AP20202 cited

On the local regularity theory for the MHD equations

D. Chamorro, F. Cortez, Jiao He +1

Local regularity results are obtained for the MHD equations using as global framework the setting of parabolic Morrey spaces. Indeed, by assuming some local boundedness assumptions…

math.AP2020

Weak-strong uniqueness in weighted 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 spaces we obtain a weak-strong uniqueness crite…

math.AP20195 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 , with and $…

math.AP2019

On the Kolmogorov dissipation law in a damped Navier-Stokes equation

Diego Chamorro, Oscar Jarrín, Pierre-Gilles Lemarié-Rieusset

We consider here the Navier-Stokes equations in with a stationary, divergence-free external force and with an additional damping term that depends on two parameter…

math.AP2019

A remark on the Liouville problem for stationary Navier-Stokes equations in Lorentz and Morrey spaces

Oscar Jarrin

The Liouville problem for the stationary Navier-Stokes equations on the whole space is a challenging open problem who has know several recent contributions. We prove here some Liou…