4 papers
Local and global strong solutions to a reduced model for inviscid micropolar fluids
F. Fanelli, P. G. Fernández Dalgo, M. E. Martínez Martini
This paper investigates the well-posedness issue for a reduced two-dimensional model of micropolar fluids. This reduced model presents a coupling between an Euler-type equation for…
Dynamic Refinement of Pressure Decomposition in Navier-Stokes Equations
Pedro Gabriel Fernández Dalgo
In this work, the local decomposition of pressure in the Navier-Stokes equations is dynamically refined to prove that a relevant critical energy of a suitable Leray-type solution i…
Mild solutions to the 3D-Boussinesq system with weakened initial temperature
Pedro Gabriel Fernández Dalgo, Oscar Jarrín
In this research, the Cauchy problem of the 3D viscous Boussinesq system is studied considering an initial temperature with negative Sobolev regularity. Precisely, we construct loc…
Blow-up of dynamically restricted critical norms near a potential Navier-Stokes singularity
Tobias Barker, Pedro Gabriel Fernández-Dalgo, Christophe Prange
In this paper we develop new methods to obtain regularity criteria for the three-dimensional Navier-Stokes equations in terms of dynamically restricted endpoint critical norms: the…